4. In the Gizmo, move the sliders to set a = -1 and b = −1. A. How many linear factors does the polynomial have? What are they? B. How many x-intercepts does the graph have? C. The multiplicity of a zero is the number of times its associated factor occurs in the polynomial. This polynomial function has a zero at x = -1 with multiplicity 2. Write the function in factored form below, using a squared term to represent the multiplicity. 5. The zeros of a second-degree polynomial are -4 and 7. A. What are the linear factors of the polynomial? B. Write the polynomial in factored form. C. Write the polynomial in standard form. Check your answers in the Gizmo.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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4. In the Gizmo, move the sliders to set a = -1 and b = −1.
A. How many linear factors does the polynomial have?
What are they?
B. How many x-intercepts does the graph have?
C. The multiplicity of a zero is the number of times its associated factor occurs in the
polynomial. This polynomial function has a zero at x = -1 with multiplicity 2. Write the
function in factored form below, using a squared term to represent the multiplicity.
5. The zeros of a second-degree polynomial are -4 and 7.
A. What are the linear factors of the polynomial?
B. Write the polynomial in factored form.
C. Write the polynomial in standard form.
Check your answers in the Gizmo.
Transcribed Image Text:4. In the Gizmo, move the sliders to set a = -1 and b = −1. A. How many linear factors does the polynomial have? What are they? B. How many x-intercepts does the graph have? C. The multiplicity of a zero is the number of times its associated factor occurs in the polynomial. This polynomial function has a zero at x = -1 with multiplicity 2. Write the function in factored form below, using a squared term to represent the multiplicity. 5. The zeros of a second-degree polynomial are -4 and 7. A. What are the linear factors of the polynomial? B. Write the polynomial in factored form. C. Write the polynomial in standard form. Check your answers in the Gizmo.
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