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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
[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 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 [math](x+2)/(x-1)+(x-3)/(x+1)[/math]
  1. [math](x^2-3x+1)/(x^2-x+4)[/math]
  2. [math](2x-1)/(2x)[/math]
  3. [math](x^2-x-6)/(x-1)[/math]
  4. [math](2x^2-x+5)/(x-1)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)[/math]
  1. [math](x+1)/(2x-1)[/math]
  2. [math](2x^2-5x+7)/(3x^2+8x-11)[/math]
  3. [math]2x^2+x-1[/math]
  4. [math]x+2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify the expression
[math]9y ^2 - 2y - 3y^2 + 5y[/math]
  1. [math]12 y^2 + 3y[/math]
  2. [math]6y^2 + 3y[/math]
  3. [math]6 y^2 + 3y [/math]
  4. [math] 6y^2 + 7y[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
[math]f(x)=2x^5+x^3-3x[/math] 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?
[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
[math]81z^2-x^2[/math] =
  1. [math](9z-x)^2[/math]
  2. [math]81(z-x)(z+x)[/math]
  3. [math](9z-x)(9z+x)[/math]
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 [math](x^2+4x+3)/(x^2-x-30)+(x^2+2x-15)/(x^2-4x-5)[/math]
  1. [math](2x)/(2x-11[/math]
  2. [math](2x^2+6x-12)/(2x^2-5x-35)[/math]
  3. [math](x^2-9)/(x^2-11x+30)[/math]
  4. [math](-9)/(-11x+30)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x+2)/(x-1)+(x-3)/(x-1)[/math]
  1. [math](x^2-x-6)/(x^2-2x+1)[/math]
  2. [math](2x-1)/(x-1)[/math]
  3. [math]x^2-x-6[/math]
  4. [math]-1/2x[/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 11 Polynomials and Rational Expressions
[math]m^2+9m +8[/math]
  1. [math](m -8)(m - 1)[/math]
  2. [math](m + 8) (m - 1)[/math]
  3. [math](m + 8) (m + 1)[/math]
  4. [math](m - 8) (m + 1)[/math]
Grade 7 Polynomials and Rational Expressions
[math](9k+ 4n) - (11k + 6n)[/math]
  1. [math]2k + 10n[/math]
  2. [math]-2k -2n[/math]
  3. [math]2k - 2n[/math]
  4. [math]20k -10k[/math]
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. [math](-2x^2+2x-4) + (x^2+3x+7)[/math]
  1. [math]7x^2[/math]
  2. [math]3x^2 +5x +11[/math]
  3. [math]3x+2 + 5x [/math]
  4. [math]-x^2+5x+3[/math]
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 [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]
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