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Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify the expression
$9y ^2 - 2y - 3y^2 + 5y$
1. $12 y^2 + 3y$
2. $6y^2 + 3y$
3. $6 y^2 + 3y$
4. $6y^2 + 7y$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(x^2-64)/(x(x+8))*x/(x-8)$ =
1. 1
2. $(x^3-64x)/((x+8)(x-8)$
3. $(x^2-8)/(x^2-64)$
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
$m^2+9m +8$
1. $(m -8)(m - 1)$
2. $(m + 8) (m - 1)$
3. $(m + 8) (m + 1)$
4. $(m - 8) (m + 1)$
Grade 7 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
Simplify by adding. $(-2x^2+2x-4) + (x^2+3x+7)$
1. $7x^2$
2. $3x^2 +5x +11$
3. $3x+2 + 5x$
4. $-x^2+5x+3$
Grade 11 Polynomials and Rational Expressions
Use the GCF of the terms to factor the polynomial.

Given: 23x⁴ + 46x³
1. x³(23x+46)
2. 23x³(x+2)
3. 23x⁴(x+2)
4. 23x(x³+2x²)
Grade 11 Polynomials and Rational Expressions
Simplify the given polynomial.

(12p² + 15p + 3) - (2p² + 17p - 2)
1. 14p² + 32p + 5
2. 10p² -2p + 5
3. 24p⁴ +32p - 6
4. -24p⁴-234p³-237p²-21p + 6
Grade 11 Polynomials and Rational Expressions
What are the coefficients of the given mathematical Statement: 7p³r - 5t³s -21p²r - 10s³t³
1. 3,1; 3,1; 2,1; 3,3
2. 7, -5,- 21, -10
3. 3,3,2,3,3
4. -29p⁵r²s⁴t⁶
Grade 7 Polynomials and Rational Expressions
$(12c + 8d) - (7c - 5d)$
1. $19c - 3d$
2. $19c + 13d$
3. $5c - 3d$
4. $5c + 13d$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the least common denominator?
$1/(x+1)+4/((x+1)(x-1)$
1. $(x+1)(x-1)$
2. $(x+1)(x+1)$
3. $(x-1)$
4. $(x+1)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $x^2-x-2$ divided by $x+6$?
1. $-2$
2. $40$
3. $x-40$
4. $x+2$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $x^2+6x-2$ divided by $x-5$?
1. $-7$
2. $x-53$
3. $53$
4. $-2$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
$(a+b)^2$
Step 1: $(a+b)(a+b)$
Step 2: $a^2+ab+ab+b^2$
Step 3: $a^2+2ab+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $4x^2+2x-5$ divided by $x-2$?
1. $-2$
2. $x-15$
3. $15$
4. $x+15$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $5x^2+2x-8$ divided by $x-3$?
1. $-8$
2. $x-53$
3. $53$
4. $41$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$x^2+14x-6$ divided by $(x+7)$ is
1. $(x+7)+8/(x+7)$
2. $(x+7)+20/(x+7)$
3. $(x+7)-20/(x+7)$
4. $(x+7)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$13x^2+5x-8$ divided by $(x+8)$ is
1. $(13x-104)+874/(x+8)$
2. $(13x-99)+784$
3. $(13x-8)$
4. $(13x-99)+784/(x+8)$
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