Polynomial Expressions Quiz: Unit 5 Review
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Questions and Answers

Which expression is a binomial?

  • 2𝑥𝑥
  • 7𝑥𝑥 6 + 3𝑥𝑥 - 2
  • 3𝑥𝑥 2 + 2𝑥𝑥 + 4
  • 𝑥𝑥 2 (correct)
  • What is the degree of the polynomial 5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥?

  • 4 (correct)
  • 2
  • 6
  • 1
  • What is the number of terms in the polynomial (2𝑎𝑎 − 5)(𝑎𝑎2 − 1)?

  • 8
  • 6
  • 5
  • 4 (correct)
  • Simplify (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1). Then name the polynomial by degree.

    <p>-8𝑥𝑥 3 + 3𝑥𝑥 2 - 1</p> Signup and view all the answers

    What are the zeros of the polynomial function 𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1)?

    <p>-1, 1, and 3</p> Signup and view all the answers

    What is the factored form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥?

    <p>x(𝑥 - 4)(2x + 3)</p> Signup and view all the answers

    How many terms are there in the simplified form of $x^4 - 2x^3 - 23x^2 - 12x + 36$?

    <p>6</p> Signup and view all the answers

    What is a rational root of the equation $x^3 + 3x^2 - 6x - 8 = 0$?

    <p>-1</p> Signup and view all the answers

    What are the zeros of the function $f(x) = x^3 - 3x^2 - 15x + 125$?

    <p>-5, 5, 25</p> Signup and view all the answers

    Which number is a zero of $f(x) = x^3 + 6x^2 + 9x$ with multiplicity 1?

    <p>1</p> Signup and view all the answers

    One root of the equation $x^3 + x^2 - 2 = 0$ is 1. What are the other two roots?

    <p>1 ± 2i</p> Signup and view all the answers

    Write an algebraic expression that models 'Seven less than the number t'.

    <p>$t - 7$</p> Signup and view all the answers

    Simplify: $5x - 3x^2 + 16x^2$

    <p>$13x - 3x^2$</p> Signup and view all the answers

    Solve the equation: $7y + 5 = 6y + 11$.

    <p>$y = -6$</p> Signup and view all the answers

    Find the slope of the line through the points (-3, -2) and (1, 6).

    <p>$\frac{8}{4}$</p> Signup and view all the answers

    Write the equation of the line through the point (7,1) and perpendicular to $y = -x + 3$. Use slope-intercept form.

    <p>$y = x - 8$</p> Signup and view all the answers

    Find the domain and range of the relation ${(1,3), (2,5), (3, −1), (4,0), (5,6)}$ and determine whether it is a function or not.

    <p>Domain: {1,2,3,4,5}, Range: {-1,0,3,5,6}, Function: No</p> Signup and view all the answers

    Determine whether the relation $f(x) = -3x + 2$, where $x = 3$, is a function or not.

    <p>Function: Yes</p> Signup and view all the answers

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