Mathematics
Grade10
Easy

Question

Factor out the GCF from the polynomial. -4y4 + 6y2 – 14y

  1. -2y(2y3 – 3y + 7)
  2. 2y(2y2 + 3y – 7)
  3. -4y(y3 – 3y + 7)
  4. 4y(y3 + 3y – 7)

hintHint:

In this question, we have to find the GCF (Greatest Common Factor) of the monomialsnegative 4 y to the power of 4 plus 6 y squared minus 14 y. For this firstly, we will find the factors of the monomial given then select the common factors of both. The product of the common factors will be the required GCF.

The correct answer is: -2y(2y3 – 3y + 7)


    Factors of -4y4 = (-1)cross times2cross times2cross timesycross timesycross timesycross timesy
    Factors of 6y2 = (-1)cross times(-3)cross times2cross timesycross timesy
    Factors of -14y = (-1)cross times2cross times7cross timesy
    Common factors = (-1), 2, y
    GCF = (-1)cross times2cross timesy = -2y
    So, negative 4 y to the power of 4 plus 6 y squared minus 14 y
    = -2y (2y3 – 3y + 7)

    Related Questions to study

    Grade10
    Mathematics

    Factor out the GCF from the polynomial. 12x2 – 15x

    Factor out the GCF from the polynomial. 12x2 – 15x

    MathematicsGrade10
    Grade10
    Mathematics

    Write a trinomial that has a GCF of 4x2.

    Write a trinomial that has a GCF of 4x2.

    MathematicsGrade10
    Grade10
    Mathematics

    Factor out the GCF from the polynomial. x10 + x9 – x8

    Factor out the GCF from the polynomial. x10 + x9 – x8

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Factor out the GCF from the polynomial. 15x3y – 10x2y3

    Factor out the GCF from the polynomial. 15x3y – 10x2y3

    MathematicsGrade10
    Grade10
    Mathematics

    Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2

    The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.

    Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2

    MathematicsGrade10

    The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.

    Grade10
    Mathematics

    Factor out the GCF from the polynomial. 10a2b + 12ab2

    Factor out the GCF from the polynomial. 10a2b + 12ab2

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Find the GCF of this pair of monomials. 8a2 and 28a5

    Find the GCF of this pair of monomials. 8a2 and 28a5

    MathematicsGrade10
    Grade10
    Mathematics

    Find the GCF of this pair of monomials. 10x and 25

    Since x is not common in both the GCF in question will be the GCF of 10 and 25.

    Find the GCF of this pair of monomials. 10x and 25

    MathematicsGrade10

    Since x is not common in both the GCF in question will be the GCF of 10 and 25.

    Grade10
    Mathematics

    Use the difference of two squares to find the area of the rectangle.

    Use the difference of two squares to find the area of the rectangle.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    The sculpture shown contains a large cube. Write a polynomial in standard form to represent the surface area of the cube.

    The sculpture shown contains a large cube. Write a polynomial in standard form to represent the surface area of the cube.

    MathematicsGrade10
    Grade10
    Mathematics

    What is the area of the shaded region?

    What is the area of the shaded region?

    MathematicsGrade10
    Grade10
    Mathematics

    Find the product. 102cross times98

    Find the product. 102cross times98

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Find a value for m and n to make a true statement. Select all the options that apply.
    (mx + ny)2 = 4x2 + 12xy + 9y2

    Find a value for m and n to make a true statement. Select all the options that apply.
    (mx + ny)2 = 4x2 + 12xy + 9y2

    MathematicsGrade10
    Grade10
    Mathematics

    Find the product. (3a – 4b)(3a + 4b)

    Find the product. (3a – 4b)(3a + 4b)

    MathematicsGrade10
    Grade10
    Mathematics

    Find the product. (0.4x + 1.2)2

    Find the product. (0.4x + 1.2)2

    MathematicsGrade10
    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.