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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
[math](12c + 8d) - (7c - 5d)[/math]
  1. [math]19c - 3d[/math]
  2. [math]19c + 13d[/math]
  3. [math]5c - 3d[/math]
  4. [math]5c + 13d[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the least common denominator?
[math]1/(x+1)+4/((x+1)(x-1)[/math]
  1. [math](x+1)(x-1)[/math]
  2. [math](x+1)(x+1)[/math]
  3. [math](x-1)[/math]
  4. [math](x+1)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
[math](a+b)^2[/math]
Step 1: [math](a+b)(a+b)[/math]
Step 2: [math]a^2+ab+ab+b^2[/math]
Step 3: [math]a^2+ab^2+b^2[/math]
  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 [math]x^2-x-2[/math] divided by [math]x+6[/math]?
  1. [math]-2[/math]
  2. [math]40[/math]
  3. [math]x-40[/math]
  4. [math]x+2[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of [math]x^2+6x-2[/math] divided by [math]x-5[/math]?
  1. [math]-7[/math]
  2. [math]x-53[/math]
  3. [math]53[/math]
  4. [math]-2[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
[math](a+b)^2[/math]
Step 1: [math](a+b)(a+b)[/math]
Step 2: [math]a^2+ab+ab+b^2[/math]
Step 3: [math]a^2+2ab+b^2[/math]
  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 [math]4x^2+2x-5[/math] divided by [math]x-2[/math]?
  1. [math]-2[/math]
  2. [math]x-15[/math]
  3. [math]15[/math]
  4. [math]x+15[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of [math]5x^2+2x-8[/math] divided by [math]x-3[/math]?
  1. [math]-8[/math]
  2. [math]x-53[/math]
  3. [math]53[/math]
  4. [math]41[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]x^2+14x-6[/math] divided by [math](x+7)[/math] is
  1. [math](x+7)+8/(x+7)[/math]
  2. [math](x+7)+20/(x+7)[/math]
  3. [math](x+7)-20/(x+7)[/math]
  4. [math](x+7)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]13x^2+5x-8[/math] divided by [math](x+8)[/math] is
  1. [math](13x-104)+874/(x+8)[/math]
  2. [math](13x-99)+784[/math]
  3. [math](13x-8)[/math]
  4. [math](13x-99)+784/(x+8)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]4x^2-6x+2[/math] divided by [math](2x-1)[/math] is
  1. [math](x-2)+2/(2x-1)[/math]
  2. [math](2x-2)+2/(2x-1)[/math]
  3. [math](2x-2)[/math]
  4. [math](4x-1)+2/(2x-1)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]4x^3-2x^2+7x+5[/math] divided by [math](x+2)[/math] is
  1. [math](4x^2-10x+27)-49/(x+2)[/math]
  2. [math](4x^2-10x+27)[/math]
  3. [math](4x^2-10x+27)+59/(x+2)[/math]
  4. [math](4x^2-10x+27)-59/(x+2)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]3x^2-7x-6[/math] divided by [math](x-3)[/math] is
  1. [math](3x+2)+6/(x-3)[/math]
  2. [math]3x+2[/math]
  3. [math]x-3[/math]
  4. [math]3x^2-8x-9[/math]
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
[math]4k^2 - 100[/math]
  1. [math](2k + 10)(2k + 10)[/math]
  2. [math](2k -10)(2k - 10)[/math]
  3. [math](2k + 10)(2k - 10)[/math]
  4. [math](4k + 10)(k -10)[/math]
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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