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Eleventh Grade (Grade 11) Polynomials and Rational Expressions Questions

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product [math](x + 5)(x^3 - 2x -3)?[/math]
  1. [math]x^4 + 5x^3 - 2x^2 - 7x -15[/math]
  2. [math]x^4 + 5x^3 - 2x^2 - 13x - 15[/math]
  3. [math]x^4 + 5x^3 - 2x^2 - 10x - 15[/math]
  4. [math]x^4 + 5x^3 - 2x^2 - 3x - 15[/math]
Grade 11 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

The product of the given is:
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
Grade 11 Polynomials and Rational Expressions
Simplify. [math](a - 1)/[(a)^2-1][/math]
  1. [math]1/a, \ a!=0[/math]
  2. [math]1/(a - 1), \ a!= -1[/math]
  3. [math]1/(1- a), \ a!=1 [/math]
  4. [math]1/(a + 1), \ a!=1[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the greatest common factor of the terms in the polynomial.

[math]9x^4 + 12x^3 +6x[/math]
  1. [math]2x^2[/math]
  2. [math]3x[/math]
  3. [math]6x^3[/math]
  4. [math]9x^4[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference [math](x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?[/math]
  1. [math]3x^3 + 7[/math]
  2. [math]6x^3 - 3x^2 + 7[/math]
  3. [math]6x^3 - 3x^2 + 8x + 7[/math]
  4. [math]3x^3 + 8x + 7[/math]
Grade 11 Polynomials and Rational Expressions
Simplify the rational expression.

[math](3x(x-3))/((x-3)(x+3))[/math]
  1. [math](x-3)/x, \ \ x!=-3,3[/math]
  2. [math](3x)/(x+3), \ \ x!= 3[/math]
  3. [math](x+3)/(x-3), \ \ x!=-3[/math]
  4. [math]1/(x-3), \ \ x!= -3[/math]
Grade 11 Polynomials and Rational Expressions
Use the GCF of the terms to factor the polynomial.

Given: [math] 23x^4 + 46x^3 [/math]
  1. [math] x^3(23x+46) [/math]
  2. [math] 23x^3(x+2) [/math]
  3. [math] 23x^4(x+2) [/math]
  4. [math] 23x(x^3+2x^2) [/math]
Grade 11 Polynomials and Rational Expressions
Divide and simplify. [math](3x)/(x+9)-:(x)/(3x+27) \ \ \ (x!=-9,0)[/math]
  1. [math]x^2/(x+9)^2[/math]
  2. [math]9/x[/math]
  3. [math]x/9[/math]
  4. [math]9[/math]
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: [math] 4g–g^3 +3g^2 –2 [/math]
  1. [math] –2+4g+3g^2–g^3 [/math]
  2. [math] 3g^3 –g^2 +4g–2 [/math]
  3. [math] g^3–3g^2+4g–2 [/math]
  4. [math] –g^3 +3g^2 +4g–2 [/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization [math](x - 10)(x^2 + 10x + 100)?[/math]
  1. [math]x^3 - 1000[/math]
  2. [math]x^3 - 100[/math]
  3. [math]x^3 + 100[/math]
  4. [math]x^3 + 1000[/math]
Grade 11 Polynomials and Rational Expressions
Find the values that make the rational expression undefined:

[math](x^2+3)/(x(x+5)[/math]
  1. [math]x=0[/math] or [math]-5[/math]
  2. [math]x=0[/math] or [math]7[/math]
  3. [math]x=0[/math] or [math]5[/math]
  4. [math]x=2[/math] or [math]4[/math]
Grade 11 Polynomials and Rational Expressions
Find the Greatest Common Factor (GCF) of the terms of the given polynomial.

Given: [math] 8x^6 + 32x^3 [/math]
  1. [math] x^3 [/math]
  2. [math] 8x^3 [/math]
  3. [math] 4x^3 [/math]
  4. [math] 8x^6 [/math]
Grade 11 Polynomials and Rational Expressions
Divide and simplify the expression [math](x-2)/(5x+10)-:(3)/(3x+6)[/math].
  1. [math]5/(x-2), \ \ x!=-2[/math]
  2. [math](3(x-2))/(15(x+2)^2)[/math]
  3. [math](x-2)/5, \ \ x!=-2[/math]
  4. [math](3(x-2))/(15(x+2))[/math]
Grade 11 Polynomials and Rational Expressions
Simplify the rational expression:

[math](2y)/(8y^2)[/math]
  1. [math]y/6[/math]
  2. [math](2y)/3[/math]
  3. [math]1/(4y)[/math]
  4. [math]2/(5y)[/math]
Grade 11 Polynomials and Rational Expressions
Find the value that makes the rational expression undefined:

[math]8/(y+6)[/math]
  1. [math]y= -4[/math]
  2. [math]y=0[/math]
  3. [math]y=3[/math]
  4. [math]y=-6[/math]
Grade 11 Polynomials and Rational Expressions
What are the coefficients of the given mathematical expression: [math] 7p^3r - 5t^3s -21p^2r - 10s^3t^3 [/math]
  1. [math] 3,1; 3,1; 2,1; 3,3 [/math]
  2. [math] 7, -5,- 21, -10 [/math]
  3. [math] 3, 3, 2, 3, 3 [/math]
  4. [math] -29p^5r^2s^4t^6 [/math]
Grade 11 Polynomials and Rational Expressions
Simplify the expression [math](7x^2-63)/(x+3)[/math].
  1. [math](x+3)/7, \ x!=-3[/math]
  2. [math](7x^2-9)/(x), \ x!=-3[/math]
  3. [math]7(x+3), \ x!=-3[/math]
  4. [math]7(x-3), \ x!=-3[/math]
Grade 11 Polynomials and Rational Expressions
Simplify the expression [math](x-7)/(x^2-x-42)[/math].
  1. [math]1/(x+7), \ x!=-6[/math]
  2. [math]1/(x+6), \ x!= 7[/math]
  3. [math]x+7, \ x!= -6, 7[/math]
  4. [math]x+6, \ x!= -6, 7[/math]
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the following:

[math] 40x^2 - 20x + 48x - 24 [/math]
  1. Is an expression that can be simplified to 3 terms. [math] 40x^2 + 28x - 24 [/math]
  2. Is an equation can be solved for the value of x. [math] x =6//17 [/math]
  3. Is an expression that can be simplified to 2 terms. [math] 68x -24 [/math]
  4. Is an expression that can be simplified to a term. [math] 44x [/math]
Grade 11 Polynomials and Rational Expressions
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