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# Polynomials and Rational Expressions Questions - All Grades

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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
Simplify. $(x^2y-x^5y^7+x^8y^4)/(x^2y)$
1. $1-x^3y^6+x^6y^3, \ \ \ \ x,y!=0$
2. $x^4y^2-x^7y^8+x^10y^5, \ \ \ \ x,y!=0$
3. $x^6y^3-x^3y^6-1, \ \ \ \ x,y!=0$
4. $xy-x^3y^6+x^6y^3, \ \ \ \ x,y!=0$
Grade 11 Polynomials and Rational Expressions
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
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 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 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Find the Greatest Common Factor (GCF) of the terms of the given polynomial.

Given: $8x^6 + 32x^3$
1. $x^3$
2. $8x^3$
3. $4x^3$
4. $8x^6$
Grade 9 Polynomials and Rational Expressions
Combine Like Terms
$4x^2 + 5z + 18x^2$
1. $14x^2 + 5z$
2. $22x^2 + 5z$
3. $22x^2 - 5z$
4. $-18x^2 - 5z$
Grade 9 Polynomials and Rational Expressions
$(9k+ 4n) - (11k + 6n)$
1. $2k + 10n$
2. $-2k -2n$
3. $2k - 2n$
4. $20k -10k$
Grade 11 Polynomials and Rational Expressions
What are the coefficients of the given mathematical expression: $7p^3r - 5t^3s -21p^2r - 10s^3t^3$
1. $3,1; 3,1; 2,1; 3,3$
2. $7, -5,- 21, -10$
3. $3, 3, 2, 3, 3$
4. $-29p^5r^2s^4t^6$
Grade 9 Polynomials and Rational Expressions
What is the simplest form of $2ab^2(4a + 3a^3b)$?
1. $6a^2b^2 + 5a^4b^3$
2. $8a^2b^2 + 6a^4b^3$
3. $8ab^2 + 6a^3b^2$
4. $14a^5b^3$
Grade 9 Polynomials and Rational Expressions
What is the simplest form of (2n - 6)(4n + 2)?
1. $6n^2 + 28n - 12$
2. $8n^2 - 12$
3. $8n^2 - 20n - 12$
4. $8n^2 + 20n - 12$
Grade 8 Polynomials and Rational Expressions
Simplify: $(15x^2y)/(20xy^2)$
1. $(3x)/(4y)$
2. $(3x^3y^3)/4$
3. $9/(16y)$
4. $x/(5y)$
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the following:

$40x^2 - 20x + 48x - 24$
1. Is an expression that can be simplified to 3 terms. $40x^2 + 28x - 24$
2. Is an equation can be solved for the value of x. $x =6//17$
3. Is an expression that can be simplified to 2 terms. $68x -24$
4. Is an expression that can be simplified to a term. $44x$
Grade 9 Polynomials and Rational Expressions
Which of the following shows the terms of $x^2 + 5x^3 - 4 - 2x$ arranged so the the powers of x are in descending order?
1. $5x^3 - 2x + x^2 - 4$
2. $-4 - 2x + x^2 + 5x^3$
3. $5x^3 - 4 - 2x + x^2$
4. $5x^3 + x^2 - 2x - 4$
Grade 11 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
A polynomial that has two terms
1. monomial
2. trinomial
3. binomial
Grade 9 Polynomials and Rational Expressions
A polynomial that has three terms
1. monomial
2. binomial
3. exponents
4. trinomial
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