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Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
The following expression is a
[math]x^3 + 2x^2- 5x - 10[/math]
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](-4m-n)-(2m+3n)[/math]
  1. [math]-2m-4n[/math]
  2. [math]-6m-4n[/math]
  3. [math]-6m+2n[/math]
  4. [math]-8m-2n[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](3x^2y^3+xy^2)(x^4y-2x^2y^2)[/math]
  1. [math]3x^4y^2-6x^4y^6+x^5y^2-2x^3y^4[/math]
  2. [math]3x^6y^4-6x^4y^5+x^5y^3-2x^3y^4[/math]
  3. [math]3x^6y^4-6x^4y^5+x^4y^4-2x^2y^2[/math]
  4. [math]3x^4y^6-6x^5y^4+x^3y^5-2x^4y^3[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2x+3)(5x-8)[/math]
  1. [math]10x^2+x-24[/math]
  2. [math]10x^2-31x-24[/math]
  3. [math]10x^2-x-24[/math]
  4. [math]7x^2+10x-5[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]3x(x+5)[/math]
  1. [math]3x+15x[/math]
  2. [math]3x^2+15x[/math]
  3. [math]18x[/math]
  4. [math]3x^3+15x^2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2x-2)(3x+5)[/math]
  1. [math]6x^2+4x-10[/math]
  2. [math]6x^2+16x-10[/math]
  3. [math]-x+3[/math]
  4. [math]6x^2-4x+10[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](10p^4+p^3-4p^2-8)-(-12p^4+5p^3-2p+3)[/math]
  1. [math]22p^4-4p^3-4p^2+2p-5[/math]
  2. [math]-2p^4-4p^3-4p^2+2p-5[/math]
  3. [math]-2p^4+6p^3-6p^2+2p-11[/math]
  4. [math]22p^4-4p^3-4p^2+2p-11[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](7n^5-3n+4n^2)+(2n^2+5n^5+8n)[/math]
  1. [math]12n^5+6n^2+5n[/math]
  2. [math]9n^5+2n^2+12n[/math]
  3. [math]5n^5-2n^2+4n[/math]
  4. [math]12n^5-6n^2-4n[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](13x-3)(5-6x)[/math]
  1. [math]-18x^2+65x-78[/math]
  2. [math]-65x^2+18x-15[/math]
  3. [math]-38x^2+78x-15[/math]
  4. [math]-78x^2+83x-15[/math]
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 9 Polynomials and Rational Expressions
A trinomial is
  1. an expression with 1 term.
  2. an expression with 2 terms.
  3. an expression with 3 terms.
  4. an expression with more than 3 terms.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[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 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given [math]3x^2y(3x^2y^2+7xy^3-4y^4)[/math] ?
  1. [math]9x^4y^6+21x^2y^3-12x^2y^4[/math]
  2. [math]6x^2y^2+10x^2y^3-7x^2y^4[/math]
  3. [math]9x^4y^3+21x^3y^4-12x^2y^5[/math]
  4. [math]6x^4y^3+10x^3y^4-7x^2y^5[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
[math]x^4 - y^4[/math]
  1. [math](x - y)^4[/math]
  2. [math](x^2 + y^2)(x + y)(x - y)[/math]
  3. [math](x^2 + y^2)(x^2 - y^2)[/math]
  4. Can't be factored
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](x-5)(2x+3)(x+5)[/math]
  1. [math]2x^3+3x^2-50x-75[/math]
  2. [math]2x^3+2x^2-15x-25[/math]
  3. [math]2x^3+2x^2-50x-25[/math]
  4. [math]2x^3-50x^2+3x-75[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract: [math](4x^2 - 2x + 8) - ( x^2 + 3x - 2)[/math]
  1. [math]3x^2 + x + 6[/math]
  2. [math]3x^2 + x + 10[/math]
  3. [math]3x^2 - 5x + 6[/math]
  4. [math]3x^2 - 5x + 10[/math]
Grade 9 Polynomials and Rational Expressions
A polynomial that has three terms.
  1. monomial
  2. binomial
  3. exponents
  4. trinomial
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
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]
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