Algebra Polynomial Functions Quiz
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Questions and Answers

What is the value of the y-intercept for the function f(x) = -2(5x + 1)²?

  • -2 (correct)
  • 5
  • 0
  • 1
  • What expression can be used to find the y-intercept of the function f(x) = 6x + 6 + 2x³ - 8x²?

  • 6(2) + 6
  • 6(-2) + 6
  • 2(0)³ + 6
  • 6(0) + 6 + 2(0)³ - 8(0)² (correct)
  • After substituting x = 0 in the function f(x) = 6x + 6 + 2x³ - 8x², what is the value of f(0)?

  • 6 (correct)
  • 12
  • 2
  • 0
  • What are the real solutions of the equation $f(x) = 0$?

    <p>0, -3, -2</p> Signup and view all the answers

    Which of the following points represents a root of the function $f(x)$?

    <p>(0, 0)</p> Signup and view all the answers

    What is the result of f(0) for the function f(x) = -2(5x + 1)²?

    <p>-2</p> Signup and view all the answers

    What is the factored form of the function represented in the graph?

    <p>$f(x) = x(x+3)(x+2)$</p> Signup and view all the answers

    Which step is NOT involved in finding the y-intercept of the function f(x) = 6x + 6 + 2x³ - 8x²?

    <p>Factoring the polynomial</p> Signup and view all the answers

    At what x-value does the function $f(x)$ first intersect the x-axis?

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

    How many real solutions does the equation $f(x) = 0$ have?

    <p>3</p> Signup and view all the answers

    What is the leading term of the polynomial function f(x) = x4 - 10x3 + 5x2 + 10x + 6?

    <p>x4</p> Signup and view all the answers

    What is the leading coefficient of the polynomial function f(x) = x4 - 10x3 + 5x2 + 10x + 6?

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

    What is the degree of the polynomial function f(x) = x4 - 10x3 + 5x2 + 10x + 6?

    <p>4</p> Signup and view all the answers

    Which term in the polynomial f(x) = x4 - 10x3 + 5x2 + 10x + 6 has the highest power?

    <p>x4</p> Signup and view all the answers

    Which of the following statements is true about the polynomial f(x) = x4 - 10x3 + 5x2 + 10x + 6?

    <p>It has a leading coefficient of 1.</p> Signup and view all the answers

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