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# Polynomials and Rational Expressions Questions - All Grades

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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 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.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 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
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. $(13x-99)+784/(x+8)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$4x^2-6x+2$ divided by $(2x-1)$ is
1. $(x-2)+2/(2x-1)$
2. $(2x-2)+2/(2x-1)$
3. $(2x-2)$
4. $(4x-1)+2/(2x-1)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$4x^3-2x^2+7x+5$ divided by $(x+2)$ is
1. $(4x^2-10x+27)-49/(x+2)$
2. $(4x^2-10x+27)$
3. $(4x^2-10x+27)+59/(x+2)$
4. $(4x^2-10x+27)-59/(x+2)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$3x^2-7x-6$ divided by $(x-3)$ is
1. $(3x+2)+6/(x-3)$
2. $3x+2$
3. $x-3$
4. $3x^2-8x-9$
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: 4g–g³ +3g² –2
1. –2+4g+3g²–g³
2. 3g³ –g² +4g–2
3. g³–3g²+4g–2
4. –g³ +3g² +4g–2
Grade 11 Polynomials and Rational Expressions
$4k^2 - 100$
1. $(2k + 10)(2k + 10)$
2. $(2k -10)(2k - 10)$
3. $(2k + 10)(2k - 10)$
4. $(4k + 10)(k -10)$
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the:

Given: 40x² - 20x + 48x - 24
1. Is an expression that can be simplified to 3 terms. 40x² + 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 11 Polynomials and Rational Expressions
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