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You can create printable tests and worksheets from these Grade 10 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 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
 __ $2(x-5)^2$ A. $3x^3-27x^2$ __ $3x^2(x-9)$ B. $2x^2 + 2x-24$ __ $2(x+4)(x-3)$ C. $x^3-x^2-5x+5$ __ $(x^2-5)(x-1)$ D. $2x^2 -20x+50$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. $(2x^2)/5*25/x^3$
1. $(2x^2 + 25)/(5x^3)$
2. $(2x^5)/(125), \ \ x!=0$
3. $10/x$
4. $x/10, \ \ x!=0$
Grade 10 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

What is the product of the given?
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
$x^4 - y^4$
1. $(x - y)^4$
2. $(x^2 + y^2)(x + y)(x - y)$
3. $(x^2 + y^2)(x^2 - y^2)$
4. Can't be factored
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given $3x^2y(3x^2y^2+7xy^3-4y^4)$ ?
1. $9x^4y^6+21x^2y^3-12x^2y^4$
2. $6x^2y^2+10x^2y^3-7x^2y^4$
3. $9x^4y^3+21x^3y^4-12x^2y^5$
4. $6x^4y^3+10x^3y^4-7x^2y^5$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. $(x^2+x-90)/(x-3) -: (x-9)/(x^2-13x+30)$
1. $x-9, \ \ x!=3,9,10$
2. $((x+10)(x-9)^2)/((x-10)(x-3)^2), \ \ x!=9$
3. $((x-9)(x+10))/(x-10), \ \ x!=3,9$
4. $x^2-100, \ \ x!=3,9,10$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. $(x+3)/(7x) -: (x-3)/(21x)$
1. $(3(x+3))/(x-3), \ \ x!=0$
2. $3, \ \ x!=0, 3$
3. $((x+3)(x-3))/(147x^2), \ \ x!=3$
4. $(3(x-3))/(x+3), \ \ x!=0,3$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Add. Simplify the result if possible. $5/(15x)+6/(15x)$
1. $11/(15x)$
2. $1, \ \ x!=0$
3. $(15x)/11, \ \ x!=0$
4. $11/(30x)$
Grade 10 Polynomials and Rational Expressions
Write the expression $(x + 5)(x + 2)$ as a polynomial in standard form.
1. $x^2 + 3x + 10$
2. $x^2 - 3x + 7$
3. $x^2 +7x + 10$
4. $x^2 +3x -3$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. $(x+7)/(x-2) * (x^2+5x-14)/(x-1)$
1. $x-1, \ \ x!=1,2$
2. $((x+7)^2)/(x-1), \ \ x!=2$
3. $(x-1)/((x-2)^2), \ \ x!=1$
4. $1/(x-1), \ \ x!=2$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. $(x^2-12x+36)/(2x-12)-:(5x-30)/10$
1. $x-6, \ \ x!=6$
2. $1/(x-6)$
3. $(x-6)^2/4, \ \ x!= 6$
4. $1, \ \ x!=6$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify if possible. $(9x^2)/(x-1)-(9x)/(x-1)$
1. $(9x(x+1))/(x+1), \ \ x!=1$
2. $(9x)/(x-1)$
3. $0, \ \ x!=1$
4. $9x, \ \ x!=1$
Grade 10 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
Factor by grouping.
$15x^3-6x^2-25x+10$
1. $(5x-5)(3x^2-2)$
2. $(x-2)(15x^2-5)$
3. $(15x-2)(x^2-5)$
4. $(5x-2)(3x^2-5)$
Grade 10 Polynomials and Rational Expressions
Simplify the expression.
$(9x^3+2)+(2x^3-1)$
1. $11x^3+1$
2. $7x^3+1$
3. $9x^3-1$
4. $10x^3-1$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. $(x^2-25)/(x^2 + 4x + 4) -: (x^2-10x+25)/(x^2 + 7x+10)$
1. $((x-5)^3)/((x+2)^3), \ \ x!=-5,5$
2. $(x+5)^2/((x+2)(x-5)), \ \ x!=-5$
3. $(x-5)/(x+2), \ \ x!=-5,5$
4. $(x+2)/(x-5), \ \ x!=-5,-2$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. $(2x-2)/x * (8x^2)/(3x-3)$
1. $3/(16x), \ \ x!= 1$
2. $(3(x+1)^2)/(4x^2), \ \ x!=1$
3. $(16x)/3, \ \ x!= 0,1$
4. $(16x-1)/(3x^2), \ \ x!=1$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor: $9y^2 - 25$
1. $(3y + 5) (3y - 5)$
2. $(9y + 5) (9y - 5)$
3. $(9y - 25) (y + 1)$
4. $(3y + 30) (3y - 5)$
Grade 10 Polynomials and Rational Expressions
Name the polynomial by degree and the number of terms.
$9x^3-10x^5+26$
1. Quintic Trinomial
2. Quintic Monomial
3. Quintic Binomial
4. Quintic Polynomial
Grade 10 Polynomials and Rational Expressions
What type of polynomial has two terms?
1. monomial
2. binomial
3. trinomial
4. polynomial
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