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Eleventh Grade (Grade 11) Polynomials and Rational Expressions Questions

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Grade 11 Polynomials and Rational Expressions
Which expression is not considered a polynomial?
  1. [math]x^4+2x^2+1[/math]
  2. [math]x^2 + 2^x[/math]
  3. [math]x^3 -.5x^2 - 1 [/math]
  4. [math]4[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify. Answer must only have positive exponents.

[math](x^-3 * y^-4 * y^2 *x^1) / (x^5 * y^2)[/math]
  1. [math](x^-2 * y^-2)/(x^5 * y^2)[/math]
  2. [math](y^2 * x)/(x^8 * y^6)[/math]
  3. [math]1 / (x^8 * y^6)[/math]
  4. [math]1 / (x^7 * y^4)[/math]
Grade 11 Polynomials and Rational Expressions
[math]3f^2 – f – 7f^4[/math]
  1. trinomial
  2. binomial
  3. monomial
  4. none of the above
Grade 11 Polynomials and Rational Expressions
Which expression is not a polynomial?
  1. 5
  2. [math]x^-2+x[/math]
  3. [math]-3x+5x^14-3[/math]
  4. [math]x^3-2x^2+3x-2[/math]
Grade 11 Polynomials and Rational Expressions
[math]j^4 – 3j^9 – 6j^3[/math]
  1. monomial
  2. binomial
  3. trinomial
  4. none of the above
Grade 11 Polynomials and Rational Expressions
[math]8n^2[/math]
  1. monomial
  2. binomial
  3. trinomial
  4. none of the above
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: [math]2x^3y^{-3}\cdot 2x^{-1}y^3[/math]
  1. 1
  2. [math]4x^5y^6[/math]
  3. [math]2x^2[/math]
  4. [math]4x^2[/math]
  5. None of the above.
Grade 11 Polynomials and Rational Expressions
[math]8-b[/math]
  1. cubic
  2. linear
  3. quadratic
  4. none of the above
Grade 11 Polynomials and Rational Expressions
[math]81 - 9k^2[/math]
  1. [math](3k - 9)(3k - 9)[/math]
  2. [math](9 + 3k)(9 - 3k)[/math]
  3. [math](3k + 9)(3k - 9)[/math]
  4. [math](9 + 3k) (9 + 3k)[/math]
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 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 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
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
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
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 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
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