Find a polynomial P(x) = ao + a₁x + ₂x² + 3x³ of degree 3 whose graph passes though the following points: (-2,-1), (-1,2), (1,2), (2,11)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 9CT
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Find a polynomial
P(x) = a + a₁x + ₂x² + ³x³
of degree 3 whose graph passes though the following points:
(-2,-1), (-1,2), (1,2), (2,11)
How to enter polynomials.
Enter the formula for a polynomial using * to denote multiplication and ^ to
denote the exponent. For example, if the answer is the polynomial
3
P(x) = 1-2x + ² +4.5x³
7
then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3.
Do not forget to use for multiplication!
Enter your answer:
15
10
Transcribed Image Text:Find a polynomial P(x) = a + a₁x + ₂x² + ³x³ of degree 3 whose graph passes though the following points: (-2,-1), (-1,2), (1,2), (2,11) How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial 3 P(x) = 1-2x + ² +4.5x³ 7 then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! Enter your answer: 15 10
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