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Polynomials and Rational Expressions Questions - All Grades

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Grade 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
__ [math]2(x-5)^2[/math] A. [math]3x^3-27x^2[/math]
__ [math]3x^2(x-9)[/math] B. [math]2x^2 + 2x-24[/math]
__ [math]2(x+4)(x-3)[/math] C. [math]x^3-x^2-5x+5[/math]
__ [math](x^2-5)(x-1)[/math] D. [math]2x^2 -20x+50[/math]
Grade 9 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
Factor the following polynomial.

[math]x^3-x^2-8x+12[/math]
  1. [math](x+3)(x-2)^2[/math]
  2. [math](x+3)(x-2)(x+1)[/math]
  3. [math](x-3)(x+1)(x-5)[/math]
  4. [math](x-1)(x-2)(x+4)[/math]
Grade 9 Polynomials and Rational Expressions
State the degree of the polynomial. [math]x^5-x^4+3[/math]
  1. 5
  2. 4
  3. 3
  4. 2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. [math](2x^2)/5*25/x^3[/math]
  1. [math](2x^2 + 25)/(5x^3)[/math]
  2. [math](2x^5)/(125), \ \ x!=0[/math]
  3. [math]10/x[/math]
  4. [math]x/10, \ \ x!=0[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](4a^2 + b^2 + a - 5c + 7) + (c^2 - 5 + a - 3b^2 - 6a^2)[/math]
  1. [math]4a^2 -3b^2 -4c^2 + 2a + 7[/math]
  2. [math]10a^2 + 4b^2 +c^2 + 2a + 5c + 12[/math]
  3. [math]4a^2c^2 + ab^2 - 8b^2c - a^2 - 5a [/math]
  4. [math]-2a^2 - 2b^2 + c^2 + 2a - 5c + 2[/math]
Grade 9 Polynomials and Rational Expressions
Which of the following best classifies [math]5a^4+7a^3-2a ?[/math]
  1. Cubic polynomial
  2. Quartic binomial
  3. Quartic trinomial
  4. Quintic polynomial
Grade 10 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

What is the product of the given?
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
Grade 9 Polynomials and Rational Expressions
If the roots of a polynomial are 4 and -2, what could the polynomial be?
  1. (x-4)(x-2)
  2. (x+4)(x+2)
  3. (x-4)(x+2)
  4. (x+4)(x-2)
Grade 9 Polynomials and Rational Expressions
What are the roots of the polynomial [math](x+4)(x-7)=0?[/math]
  1. 4 and 7
  2. 4 and -7
  3. -4 and 7
  4. -4 and -7
Grade 9 Polynomials and Rational Expressions
A monomial 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
State the degree of the polynomial. [math]3x^2 + x + 8x^3 - 6x^5 + 2[/math]
  1. 8
  2. 5
  3. 3
  4. 2
Grade 9 Polynomials and Rational Expressions
Which expression is not considered a polynomial?
  1. [math]x^4+2x^2+1[/math]
  2. [math]x^2 + 2^x[/math]
  3. [math]x^3 -.5x^2 - 1 [/math]
  4. [math]4[/math]
Grade 9 Polynomials and Rational Expressions
What is the best classification of the polynomial [math]6 ?[/math]
  1. Constant monomial
  2. Constant binomial
  3. Linear monomial
  4. This is not a polynomial.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.
[math](-3z^2 + 9z -4) - (4z^2 -5 + z)[/math]
  1. [math]-7z^2 + 8z +1[/math]
  2. [math]-z^2 + 8z - 9[/math]
  3. [math]z^2 + 10z -9[/math]
  4. [math]7z^2 +4z -3[/math]
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
[math]10z+6[/math] is best classified as which of the following?
  1. Linear monomial
  2. Linear binomial
  3. Quadratic binomial
  4. Quadratic polynomial
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](5z^2 - 4z + 4) + (-3z - z^2 + 5)[/math]
  1. [math]2z^2 - 5z + 9[/math]
  2. [math]6z^2 + 7z + 9[/math]
  3. [math]8z^2 + 5z + 9[/math]
  4. [math]4z^2 - 7z + 9[/math]
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