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Common Core Standard HSA-APR.A.1 Questions

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

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Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math] 3x^2 (8x^3+3x^2-4)[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the product:
[math](n+3)(2n^2-4n-2)[/math]
  1. [math]n^3+6n^2-12n-6[/math]
  2. [math]2n^3+2n^2-14n-6[/math]
  3. [math]2n^3+2n^2-10n-6[/math]
  4. [math]2n^3-2n^2+14n-6[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2x^2 - 5x - 7) + (7x^2 + 3)[/math]
  1. [math]2x^2 + 2x - 4[/math]
  2. [math]9x^2 - 5x - 4[/math]
  3. [math]9x^2 - 2x - 7[/math]
  4. [math]9x^4 - 5x - 4[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]x(8x - 5y) - x(x - 6y) - 3x(3 + 3y)[/math]
  1. [math]9x^2 +15xy -14x[/math]
  2. [math]7x^2 - 8xy - 9x[/math]
  3. [math]9x^2 +xy - 18x[/math]
  4. [math]7x^2 + 8xy - 9x[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]2(z - z^2 + z^3) + 3(z - 2) + 9(-z^2 + 5)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]3(y - 2y^2) + 4(7 - 5y) + 8(y^2 - 7)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply the binomials.
[math](x-11)(x+11)[/math]
  1. [math]x^2 +121[/math]
  2. [math]x^2 - 121[/math]
  3. [math]x^2 +22x +121[/math]
  4. [math]x^2 -22x +121[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply the binomials.
[math](x-9)(x+7)[/math]
  1. [math]x^2 +16x - 63[/math]
  2. [math]x^2 +2x +63[/math]
  3. [math]x^2 -2x -63[/math]
  4. [math]x^2 -16x -63[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math] (2x^2-x+2)(6x-4)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math] (3x^2-4)+(4x^3+2x^2+4x)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. [math]5y(9y^2 + 2y - 6)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](15x^2+4)(4x^3-17x)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]3y^2(y-4)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2b^5 +3b^4 -4b^3+7b^2) +(-2b-12)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](2y^5 +3y^5+y+1) + (8y^5-3y^4+4y-7)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](7y^5 +8y^2 +3) +(7y^5 +y^3)+(-4y^2-y-3)[/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]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](w^7-w^2+w) - (w^6+w^3-w)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract and write the resulting polynomial in descending order of degree.

[math](10y+13)-(-6y+9)[/math]
  1. [math]16y+22[/math]
  2. [math]20y[/math]
  3. [math]-16y-4[/math]
  4. [math]16y+4[/math]
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