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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 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. (x2+x+1)(x2+x+2)
  1. x4+5x3+4x2-x+4
  2. x4-6x3+4x2+2x+1
  3. x4+2x3+4x2+3x+2
  4. 2x4-2x3+x2+4x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(3x2-4x+7)+(2x3-4x2-6x+5)
  1. 2x3+x2+10x+12
  2. 2x3-x2-10x+12
  3. 2x3x2+10x-12
  4. 2x310x+12-x2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply and simplify: (x-1)(x2-x+1)
  1. x3+1
  2. x3-1
  3. -x3+2x2-2x+1
  4. x3-2x2+2x-1
  5. None of these are correct
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. Simplify fully.
(4y3)(7y5)
  1. 11y8
  2. 28y3
  3. 4y37y5
  4. 28y8
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply. (x-5)(2x+4)
  1. -6x
  2. 2x2-20
  3. 2x2-26
  4. 2x2-6x-20
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. (x2+x+1)(x2+x+2)
  1. x4+2x3+4x2+3x+2
  2. x4-6x3+4x2+2x+1
  3. x4+5x3+4x2-x+4
  4. 2x4-2x3+x2+4x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply: (x-2)(2x2-3x-1)
  1. -2x3+3x2+x
  2. -2x2+3x+1
  3. 2x3-7x2-7x-2
  4. 2x3+x2-7x-2
  5. 2x3-7x2+5x+2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.

(3x2+3x+1)+(x2+x+5)
  1. 4x2+4x+6
  2. 3x2-2x+4
  3. 4x2-4x-6
  4. 2x2+2x-4
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
3x(4x+7)
  1. 12x+21
  2. 3x2+7x
  3. 12x2+21x
  4. 7x+7
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product (x+5)(x3-2x-3)?
  1. x4+5x3-2x2-7x-15
  2. x4+5x3-2x2-13x-15
  3. x4+5x3-2x2-10x-15
  4. x4+5x3-2x2-3x-15
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: 2x3y-32x-1y3
  1. 1
  2. 4x5y6
  3. 2x2
  4. 4x2
  5. None of the above.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
3a(2a2-4a+6)
  1. 3a3-a2+18a
  2. 6a2-12a+18
  3. 5a3-a2+9a
  4. 6a3-12a2+18a
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(-4m-n)-(2m+3n)
  1. -2m-4n
  2. -6m-4n
  3. -6m+2n
  4. -8m-2n
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
1x2-5x+xx-5=
  1. x2+1x(x-5)
  2. x+1x-5
  3. x-1x-5
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference (x4-3x2+4x+7)-(x4-6x3+4x)?
  1. 3x3+7
  2. 6x3-3x2+7
  3. 6x3-3x2+8x+7
  4. 3x3+8x+7
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization (x-10)(x2+10x+100)?
  1. x3-1000
  2. x3-100
  3. x3+100
  4. x3+1000
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
(3x2y3+xy2)(x4y-2x2y2)
  1. 3x4y2-6x4y6+x5y2-2x3y4
  2. 3x6y4-6x4y5+x5y3-2x3y4
  3. 3x6y4-6x4y5+x4y4-2x2y2
  4. 3x4y6-6x5y4+x3y5-2x4y3
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