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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 CCSS: HSA-APR.A.1
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 CCSS: HSA-APR.A.1
Add the polynomials.

[math](3x^2+3x+1) + (x^2+x+5)[/math]
  1. [math]4x^2+4x+6[/math]
  2. [math]3x^2-2x+4[/math]
  3. [math]4x^2-4x-6[/math]
  4. [math]2x^2+2x-4[/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
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 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
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
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 CCSS: HSA-APR.D.6
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 CCSS: HSA-APR.D.7
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 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 CCSS: HSA-APR.D.7
[math](x^2-64)/(x(x+8))*x/(x-8)[/math] =
  1. [math] 1 , \ \ x!=-8,0,8 [/math]
  2. [math](x^3-64x)/((x+8)(x-8)), \ \ x!= 0[/math]
  3. [math](x^2-8)/(x^2-64), \ \ x!= 0[/math]
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 CCSS: HSA-APR.C.4
Factor. [math]27x^3 + 64[/math]
  1. [math](3x-4)(9x^2 + 12x + 16) [/math]
  2. [math](3x + 4)(9x^2 - 12x + 16)[/math]
  3. [math](3x+4)(9x^2 + 12x + 16)[/math]
  4. [math]"Can't factor further"[/math]
Grade 11 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)(x+1))[/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
[math]3f^2 - f - 7f^4[/math]
  1. trinomial
  2. binomial
  3. monomial
  4. none of the above
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
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 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), \ x!= -5, -2, 3[/math]
  2. [math](2x^2-5x+7)/(3x^2+8x-11), \ x!= -2,3[/math]
  3. [math]2x^2+x-1[/math]
  4. [math]x+2[/math]
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