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You can create printable tests and worksheets from these Grade 11 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.A.1
What is the product $(x + 5)(x^3 - 2x -3)?$
1. $x^4 + 5x^3 - 2x^2 - 7x -15$
2. $x^4 + 5x^3 - 2x^2 - 13x - 15$
3. $x^4 + 5x^3 - 2x^2 - 10x - 15$
4. $x^4 + 5x^3 - 2x^2 - 3x - 15$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the rational expression.

$(3x(x-3))/((x-3)(x+3))$
1. $(x-3)/x, \ \ x!=-3,3$
2. $(3x)/(x+3), \ \ x!= 3$
3. $(x+3)/(x-3), \ \ x!=-3$
4. $1/(x-3), \ \ x!= -3$
Grade 11 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

The product of the given is:
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Factor. $27x^3 + 64$
1. $(3x-4)(9x^2 + 12x + 16)$
2. $(3x + 4)(9x^2 - 12x + 16)$
3. $(3x+4)(9x^2 + 12x + 16)$
4. $"Can't factor further"$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide and simplify the expression $(x-2)/(5x+10)-:(3)/(3x+6)$.
1. $5/(x-2), \ \ x!=-2$
2. $(3(x-2))/(15(x+2)^2)$
3. $(x-2)/5, \ \ x!=-2$
4. $(3(x-2))/(15(x+2))$
Grade 11 Polynomials and Rational Expressions
Simplify. $(a - 1)/[(a)^2-1]$
1. $1/a, \ a!=0$
2. $1/(a - 1), \ a!= -1$
3. $1/(1- a), \ a!=1$
4. $1/(a + 1), \ a!=1$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the expression $(x-7)/(x^2-x-42)$.
1. $1/(x+7), \ x!=-6$
2. $1/(x+6), \ x!= 7$
3. $x+7, \ x!= -6, 7$
4. $x+6, \ x!= -6, 7$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide and simplify. $(3x)/(x+9)-:(x)/(3x+27) \ \ \ (x!=-9,0)$
1. $x^2/(x+9)^2$
2. $9/x$
3. $x/9$
4. $9$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the greatest common factor of the terms in the polynomial.

$9x^4 + 12x^3 +6x$
1. $2x^2$
2. $3x$
3. $6x^3$
4. $9x^4$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference $(x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?$
1. $3x^3 + 7$
2. $6x^3 - 3x^2 + 7$
3. $6x^3 - 3x^2 + 8x + 7$
4. $3x^3 + 8x + 7$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify. $((x^2-y^2)/(y^2-49))/((y-x)/(y+7))$
1. $(y-x)/(y-7), \ x!=y, y!=-7$
2. $(-x+y)/(y-7), \ x!=y, y!= -7$
3. $(-x-y)/(-y-7), \ x!=y, y!=7$
4. $(-x-y)/(y-7), \ x!=y, y!=-7$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the expression $(7x^2-63)/(x+3)$.
1. $(x+3)/7, \ x!=-3$
2. $(7x^2-9)/(x), \ x!=-3$
3. $7(x+3), \ x!=-3$
4. $7(x-3), \ x!=-3$
Grade 11 Polynomials and Rational Expressions
Simplify the rational expression:

$(2y)/(8y^2)$
1. $y/6$
2. $(2y)/3$
3. $1/(4y)$
4. $2/(5y)$
Grade 11 Polynomials and Rational Expressions
Find the value that makes the rational expression undefined:

$8/(y+6)$
1. $y= -4$
2. $y=0$
3. $y=3$
4. $y=-6$
Grade 11 Polynomials and Rational Expressions
Use the GCF of the terms to factor the polynomial.

Given: $23x^4 + 46x^3$
1. $x^3(23x+46)$
2. $23x^3(x+2)$
3. $23x^4(x+2)$
4. $23x(x^3+2x^2)$
Grade 11 Polynomials and Rational Expressions
Find the values that make the rational expression undefined:

$(x^2+3)/(x(x+5)$
1. $x=0$ or $-5$
2. $x=0$ or $7$
3. $x=0$ or $5$
4. $x=2$ or $4$
Grade 11 Polynomials and Rational Expressions

$(3x^2+3x+1) + (x^2+x+5)$
1. $4x^2+4x+6$
2. $3x^2-2x+4$
3. $4x^2-4x-6$
4. $2x^2+2x-4$
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: $4g–g^3 +3g^2 –2$
1. $–2+4g+3g^2–g^3$
2. $3g^3 –g^2 +4g–2$
3. $g^3–3g^2+4g–2$
4. $–g^3 +3g^2 +4g–2$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization $(x - 10)(x^2 + 10x + 100)?$
1. $x^3 - 1000$
2. $x^3 - 100$
3. $x^3 + 100$
4. $x^3 + 1000$
Grade 11 Polynomials and Rational Expressions
Factor completely. $p^5+2p^2-p^3-2$
1. $(p^3+2)(p^2-1)$
2. $(p^3+2)(p+1)(p-1)$
3. $(p^3+2)(p-1)^2$
4. $(p^3+2)$
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