Mathematics
Algebra
Easy

Question

Let f left parenthesis x right parenthesis equals x squared plus b x plus c, where b comma c element of R. If f(x) is a factor of both x to the power of 4 plus 6 x squared plus 25 and 3 x to the power of 4 plus 4 x squared plus 28 x plus 5 then the least value of f(x) is

  1. 2
  2. 3
  3. 5/2
  4. 4

The correct answer is: 4


    Related Questions to study

    Algebra
    Mathematics

    The value of expression x to the power of 4 minus 8 x cubed plus 18 x squared minus 8 x plus 2 when x equals 2 plus square root of 3

    The value of expression x to the power of 4 minus 8 x cubed plus 18 x squared minus 8 x plus 2 when x equals 2 plus square root of 3

    MathematicsAlgebra
    Algebra
    Mathematics

    If open parentheses b squared minus 4 a c close parentheses squared open parentheses 1 plus 4 a squared close parentheses less than 64 a squared comma a less than 0 then the maximum value of quadratic expression  a x squared plus b x plus c is always less than

    If open parentheses b squared minus 4 a c close parentheses squared open parentheses 1 plus 4 a squared close parentheses less than 64 a squared comma a less than 0 then the maximum value of quadratic expression  a x squared plus b x plus c is always less than

    MathematicsAlgebra
    Algebra
    Mathematics

    The total number of integral values of a so that x squared minus left parenthesis a plus 1 right parenthesis x plus a minus 1 equals 0 has integral roots is equal to

    The total number of integral values of a so that x squared minus left parenthesis a plus 1 right parenthesis x plus a minus 1 equals 0 has integral roots is equal to

    MathematicsAlgebra
    parallel
    Algebra
    Mathematics

    The total number of values of a so that x squared minus x minus a equals 0 has integral roots, where a element of Nand 6 less or equal than a less or equal than 100, is equal to

    The total number of values of a so that x squared minus x minus a equals 0 has integral roots, where a element of Nand 6 less or equal than a less or equal than 100, is equal to

    MathematicsAlgebra
    Algebra
    Mathematics

    Consider the equation x squared plus 2 x minus n equals 0, where n element of N and n element of left square bracket 5 comma 100 right square bracket. The total number of different values of n so that the given equation has integral roots is

    Consider the equation x squared plus 2 x minus n equals 0, where n element of N and n element of left square bracket 5 comma 100 right square bracket. The total number of different values of n so that the given equation has integral roots is

    MathematicsAlgebra
    Algebra
    Mathematics

    The set of all possible real values of a such that the inequality left parenthesis x minus left parenthesis a minus 1 right parenthesis right parenthesis open parentheses x minus open parentheses a squared plus 2 close parentheses close parentheses less than 0 holds for all x element of left parenthesis negative 1 comma 3 right parenthesis is

    The set of all possible real values of a such that the inequality left parenthesis x minus left parenthesis a minus 1 right parenthesis right parenthesis open parentheses x minus open parentheses a squared plus 2 close parentheses close parentheses less than 0 holds for all x element of left parenthesis negative 1 comma 3 right parenthesis is

    MathematicsAlgebra
    parallel
    Algebra
    Mathematics

    If the roots of the quadratic equation open parentheses 4 p minus p squared minus 5 close parentheses x squared minus left parenthesis 2 p minus 1 right parenthesis x plus 3 p equals 0 lie on either of unity, then the number of integral values of p is

    If the roots of the quadratic equation open parentheses 4 p minus p squared minus 5 close parentheses x squared minus left parenthesis 2 p minus 1 right parenthesis x plus 3 p equals 0 lie on either of unity, then the number of integral values of p is

    MathematicsAlgebra
    Algebra
    Mathematics

    If alpha comma beta comma gamma comma delta are the roots of the equation x to the power of 4 minus K x cubed plus K x squared plus L x plus M equals 0,where K, L, M are real numbers, then the minimum value of alpha squared plus beta squared plus gamma squared plus delta squared is

    If alpha comma beta comma gamma comma delta are the roots of the equation x to the power of 4 minus K x cubed plus K x squared plus L x plus M equals 0,where K, L, M are real numbers, then the minimum value of alpha squared plus beta squared plus gamma squared plus delta squared is

    MathematicsAlgebra
    Algebra
    Mathematics

    If alpha comma beta comma gamma are the roots of x cubed minus x squared minus 1 equals 0 then the value left parenthesis 1 plus alpha right parenthesis divided by left parenthesis 1 minus alpha right parenthesis plus left parenthesis 1 plus beta right parenthesis divided by left parenthesis 1 minus beta right parenthesis plus left parenthesis 1 plus gamma right parenthesis divided by left parenthesis 1 minus gamma right parenthesis is equal to 

    If alpha comma beta comma gamma are the roots of x cubed minus x squared minus 1 equals 0 then the value left parenthesis 1 plus alpha right parenthesis divided by left parenthesis 1 minus alpha right parenthesis plus left parenthesis 1 plus beta right parenthesis divided by left parenthesis 1 minus beta right parenthesis plus left parenthesis 1 plus gamma right parenthesis divided by left parenthesis 1 minus gamma right parenthesis is equal to 

    MathematicsAlgebra
    parallel
    Algebra
    Mathematics

    If 1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6,then 1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsisequals

    If 1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6,then 1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsisequals

    MathematicsAlgebra
    Algebra
    Mathematics

    If a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n are in H.P. then fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fractionare in

    If a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n are in H.P. then fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fractionare in

    MathematicsAlgebra
    Algebra
    Mathematics

    If x, y, z  real and 4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0, then x, y, z are in

    If x, y, z  real and 4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0, then x, y, z are in

    MathematicsAlgebra
    parallel
    Algebra
    Mathematics

    If x,2y,3z are in A.P. where the distinct numbers x, y, z are in G.P. then the common ratio of the G.P. is

    If x,2y,3z are in A.P. where the distinct numbers x, y, z are in G.P. then the common ratio of the G.P. is

    MathematicsAlgebra
    Algebra
    Mathematics

    If a squared plus b squared comma a b plus b c and b squared plus c squared are in G.P., then a, b, c  in

    If a squared plus b squared comma a b plus b c and b squared plus c squared are in G.P., then a, b, c  in

    MathematicsAlgebra
    Algebra
    Mathematics

    Let a subscript 1 comma a subscript 2 comma a subscript 3 comma horizontal ellipsis midline horizontal ellipsis midline horizontal ellipsis be terms of an A.P. If fraction numerator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript p over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript 9 end fraction equals p squared over q squared comma p not equal to q then a subscript 6 over a subscript 21equals

    Let a subscript 1 comma a subscript 2 comma a subscript 3 comma horizontal ellipsis midline horizontal ellipsis midline horizontal ellipsis be terms of an A.P. If fraction numerator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript p over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript 9 end fraction equals p squared over q squared comma p not equal to q then a subscript 6 over a subscript 21equals

    MathematicsAlgebra
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.