10th-Grade-Math---USA

Polynomial-and-Rational-Expressions

Easy

Question

$fraction numerator 5 a over denominator a plus 3 end fraction cross times fraction numerator a squared plus a minus 6 over denominator a squared plus 2 a plus 1 end fraction cross times left parenthesis a plus 1 right parenthesis$ =

$\frac{5 a (a + 2)}{(a + 1)}$
$\frac{5 a (a - 2)}{(a + 1)}$
$\frac{5 a (a + 2)}{a - 1}$
$\frac{5 a (a - 2)}{a - 1}$

The correct answer is: $fraction numerator 5 a left parenthesis a minus 2 right parenthesis over denominator left parenthesis a plus 1 right parenthesis end fraction$

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Adam and Jacob together can finish a work in 5 hours. Adam works twice as fast as Jacob. The number of minutes do Jacob need to finish the work is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Fill in the blank

X
1
2
3

Y
1
1/2

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Use remainder theorem to get the remainder of polynomial 8x² + x – 20 ; when divided by binomial x + 3 is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

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$fraction numerator 5 a over denominator a plus 3 end fraction cross times fraction numerator a squared plus a minus 6 over denominator a squared plus 2 a plus 1 end fraction cross times left parenthesis a plus 1 right parenthesis$ =

The correct answer is: $fraction numerator 5 a left parenthesis a minus 2 right parenthesis over denominator left parenthesis a plus 1 right parenthesis end fraction$

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

Fill in the blank

X
1
2
3

Y
1
1/2

Fill in the blank

X
1
2
3

Y
1
1/2

Use remainder theorem to get the remainder of polynomial 8x² + x – 20 ; when divided by binomial x + 3 is

Use remainder theorem to get the remainder of polynomial 8x² + x – 20 ; when divided by binomial x + 3 is