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# Polynomials and Rational Expressions Questions - All Grades

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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: $a^2+ab^2+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 11 Polynomials and Rational Expressions
Given: (5x + 6)(8x - 4)

The product of the given is:
1. 13x + 2
2. 40x - 24
3. 40x² + 24
4. 40x² - 20x + 48x - 24
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x+2)/(x-1)+(x-3)/(x+1)$
1. $(x^2-3x+1)/(x^2-x+4)$
2. $(2x-1)/(2x)$
3. $(x^2-x-6)/(x-1)$
4. $(2x^2-x+5)/(x-1)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)$
1. $(x+1)/(2x-1)$
2. $(2x^2-5x+7)/(3x^2+8x-11)$
3. $2x^2+x-1$
4. $x+2$
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: HSF-IF.C.7c
$f(x)=2x^5+x^3-3x$ is                     .
1. Even
2. Odd
3. Both even and odd
4. Neither even nor odd
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
$81z^2-x^2$ =
1. $(9z-x)^2$
2. $81(z-x)(z+x)$
3. $(9z-x)(9z+x)$
Grade 11 Polynomials and Rational Expressions
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x^2+4x+3)/(x^2-x-30)+(x^2+2x-15)/(x^2-4x-5)$
1. $(2x)/(2x-11$
2. $(2x^2+6x-12)/(2x^2-5x-35)$
3. $(x^2-9)/(x^2-11x+30)$
4. $(-9)/(-11x+30)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x+2)/(x-1)+(x-3)/(x-1)$
1. $(x^2-x-6)/(x^2-2x+1)$
2. $(2x-1)/(x-1)$
3. $x^2-x-6$
4. $-1/2x$
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 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
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 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
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 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. $-2$
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