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Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions

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Grade 10 Polynomials and Rational Expressions
Select the polynomial that is written in standard form.
  1. 3x2+4x5-7x
  2. 4x5+3x2-7x
  3. -7x+4x5+3x2
  4. 7+4x5-3x4+2x3
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide. Simplify if possible. x2-25x2+4x+4÷x2-10x+25x2+7x+10
  1. (x-5)3(x+2)3,  x≠-5,5
  2. (x+5)2(x+2)(x-5),  x≠-5
  3. x-5x+2,  x≠-5,5
  4. x+2x-5,  x≠-5,-2
Grade 10 Polynomials and Rational Expressions
What type of polynomial has three terms?
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
Grade 10 Polynomials and Rational Expressions
What degree is the polynomial 3n2+2n+1?
  1. 1
  2. 2
  3. 3
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: 2x3y-3⋅2x-1y3
  1. 1
  2. 4x5y6
  3. 2x2
  4. 4x2
  5. None of the above.
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 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 10 Polynomials and Rational Expressions
Name the polynomial by degree and the number of terms.
-8x+15
  1. Linear Monomial
  2. Linear Binomial
  3. Linear Trinomial
  4. Linear Polynomial
Grade 10 Polynomials and Rational Expressions
Factor: 15x6-6x3+9x2
  1. 5x4(3x2-2x+6)
  2. 3x2(5x4-2x+3)
  3. 3x4(5x2-2x+3)
  4. 2x4(7x2-3x+2)
Grade 10 Polynomials and Rational Expressions
ca+34=
  1. 4c+3a4a
  2. 3c+4a4a
  3. (c+a)44a
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 6n2+37n+6 completely.
  1. (6n+1)(n-6)
  2. (6n-1)(n+6)
  3. (6n+1)(n+6)
  4. (6n-1)(n-6)
Grade 10 Polynomials and Rational Expressions
What type of polynomial has only one term?
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
Grade 10 Polynomials and Rational Expressions
Write the polynomial in standard form: 3+24x+7x2+16x3.
  1. 16x3+24x+7x2+3
  2. 16x3+3+7x2+24x
  3. 16x3+7x2+24x+3
  4. 16x3+7x2+3+24x
Grade 10 Polynomials and Rational Expressions
Factor: 6x4+18x3-24x2
  1. 6x2(x+4)(x-1)
  2. 6x3(x+3x-4)
  3. 3x2(2x2+6x-8)
  4. 3x2(x-4)(2x+3)
Grade 10 Polynomials and Rational Expressions
Find the GCF: 35z5+60z2-15z
  1. 15z2
  2. 5z
  3. 6z2
  4. 7z
Grade 10 Polynomials and Rational Expressions
Name the polynomial by degree and the number of terms.
-17x4+6x3-9x2+2
  1. Quartic Monomial
  2. Quartic Binomial
  3. Quartic Trinomial
  4. Quartic Polynomial
Grade 10 Polynomials and Rational Expressions
Which of the following cannot be classified as a polynomial?
  1. 3x2-4x+12
  2. 10xy2+2y+3z+15
  3. (2xy2+3)
  4. 144x-2y3z6
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 10 Polynomials and Rational Expressions
-2g-3g2
  1. cubic
  2. linear
  3. quadratic
  4. none of the above
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Subtract. Simplify, if possible. 4x-3-4x-1
  1. 0,  x≠1,3
  2. 8(x-3)(x-1)
  3. 8(x-2)(x-3)(x-1)
  4. 2x-3,  x≠1
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