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Ninth Grade (Grade 9) Polynomials and Rational Expressions Questions

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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
State the degree of the polynomial. x5-x4+3
  1. 5
  2. 4
  3. 3
  4. 2
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(4a2+b2+a-5c+7)+(c2-5+a-3b2-6a2)
  1. 4a2-3b2-4c2+2a+7
  2. 10a2+4b2+c2+2a+5c+12
  3. 4a2c2+ab2-8b2c-a2-5a
  4. -2a2-2b2+c2+2a-5c+2
Grade 9 Polynomials and Rational Expressions
Which of the following best classifies 5a4+7a3-2a?
  1. Cubic polynomial
  2. Quartic binomial
  3. Quartic trinomial
  4. Quintic polynomial
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 (x+4)(x-7)=0?
  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. 3x2+x+8x3-6x5+2
  1. 8
  2. 5
  3. 3
  4. 2
Grade 9 Polynomials and Rational Expressions
Which expression is not considered a polynomial?
  1. x4+2x2+1
  2. x2+2x
  3. x3-.5x2-1
  4. 4
Grade 9 Polynomials and Rational Expressions
What is the best classification of the polynomial 6?
  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.
(-3z2+9z-4)-(4z2-5+z)
  1. -7z2+8z+1
  2. -z2+8z-9
  3. z2+10z-9
  4. 7z2+4z-3
Grade 9 Polynomials and Rational Expressions
The following expression is a
x3+2x2-5x-10
  1. monomial.
  2. binomial.
  3. trinomial.
  4. polynomial.
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(5z2-4z+4)+(-3z-z2+5)
  1. 2z2-5z+9
  2. 6z2+7z+9
  3. 8z2+5z+9
  4. 4z2-7z+9
Grade 9 Polynomials and Rational Expressions
10z+6 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
Multiply the monomials.
3x7⋅2x4
  1. 6x11
  2. 5x11
  3. 6x28
  4. 5x28
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 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomial with the binomial.
(-3y3)(-2y2+9y)
  1. 6y5-27y4
  2. -6y5-27y4
  3. -5y5+6y4
  4. -6y6-27y3
Grade 9 Polynomials and Rational Expressions
State the degree of the polynomial. 5x4+9x3+x2-6x+2
  1. 5
  2. 4
  3. 3
  4. 2
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
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