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Polynomials and Rational Expressions Questions - All Grades

You can create printable tests and worksheets from these Polynomials and Rational Expressions questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Add and simplify.

$(x+2)/(x-1)+(x-3)/(x+1)$

$(x^2-3x+1)/(x^2-x+4)$
$(2x-1)/(2x)$
$(x^2-x-6)/(x-1)$
$(2x^2-x+5)/((x-1)(x+1))$

Grade 9 Polynomials and Rational Expressions

What is the degree of the following polynomial?

$6x^3y - 9x^3y^2 + 3x^4 -y + 1$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$(x-5)(2x+3)(x+5)$

$2x^3+3x^2-50x-75$
$2x^3+2x^2-15x-25$
$2x^3+2x^2-50x-25$
$2x^3-50x^2+3x-75$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Add the polynomials.

$(3x^2-4x+7) + (2x^3-4x^2-6x+5)$

$2x^3+x^2+10x+12$
$2x^3-x^2-10x+12$
$2x^3−x^2+10x-12$
$2x^3−10x+12-x^2$

Grade 10 Polynomials and Rational Expressions

Which of the following represents the simplified polynomial expression, given

$3x^2y(3x^2y^2+7xy^3-4y^4)$ ?

$9x^4y^6+21x^2y^3-12x^2y^4$
$6x^2y^2+10x^2y^3-7x^2y^4$
$9x^4y^3+21x^3y^4-12x^2y^5$
$6x^4y^3+10x^3y^4-7x^2y^5$

Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Divide. Simplify if possible.

$(x+3)/(7x) -: (x-3)/(21x)$

$(3(x+3))/(x-3), \ \ x!=0$
$3, \ \ x!=0, 3$
$((x+3)(x-3))/(147x^2), \ \ x!=3$
$(3(x-3))/(x+3), \ \ x!=0,3$

Grade 11 Polynomials and Rational Expressions

Factor the following polynomial.

$x^3+3x^2-13x-15$

$(x-5)(x-1)(x+3)$
$(x-5)(x -1)(x-3)$
$(x-2)(x+4)(x+1)$
$(x+5)(x+1)(x-3)$

Grade 9 Polynomials and Rational Expressions

A polynomial that has three terms.

monomial
binomial
exponents
trinomial

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$-a^2$ is classified as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 11 Polynomials and Rational Expressions

Simplify the rational expression.

$(2y)/(8y^2)$

$y/6$
$(2y)/3$
$1/(4y)$
$2/(5y)$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

Multiply.

$3x (5x^3 + 2x^2 - 7x)$

$15x^3 + 3x^2 - 21x$
$15x^4 + 6x^3 - 21x^2$
$5x^3 + 2x^2 - 4x$
$8x^4 +5x^3 - 4x^2$

Grade 9 Polynomials and Rational Expressions

A polynomial that has one term.

exponent
binomial
monomial
trinomial

Grade 10 Polynomials and Rational Expressions

Write the expression

$(x + 5)(x + 2)$ as a polynomial in standard form.

$x^2 + 3x + 10$
$x^2 - 3x + 7$
$x^2 +7x + 10$
$x^2 +3x -3$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$5x^3-y^2+3x+12y-5$ is classified as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 11 Polynomials and Rational Expressions

Which expression is not a polynomial?

5
$x^-2+x$
$-3x+5x^14-3$
$x^3-2x^2+3x-2$

Grade 9 Polynomials and Rational Expressions

Select the correct term.

$3y - 20$ binomial

$9x - 5y + 10w$ trinomial

$-100y + 8 -w +5x$ polynomial

monomial
polynomial
binomial
trinomial

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$-2a^2+b-1$ is described as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use synthetic division to divide the polynomials:

$(y^2+14y+49)/(y+7)$ .

$y-7$
$y^2+7$
$y+7$
$y+(7)/(y+7)$

Grade 9 Polynomials and Rational Expressions

Simplify the given polynomial.

$(12p^2 + 15p + 3) - (2p^2 + 17p - 2)$

$14p^2 + 32p + 5$
$10p^2 -2p + 5$
$24p^4 +32p - 6$
$-24p^2-234p^3-237p^2-21p + 6$

Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$x^2+2x$ is classified as which of the following?
(select all that apply)

Monomial
Binomial
Trinomial
Polynomial
None of the above

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Polynomials and Rational Expressions Questions - All Grades