8-112 IM 3 - HW 8.3.28-112.Carlo is trying to factor the polynomial p(x) = x4 – 4x3 – 4x2 + 24x –9 to determine all of its zeros. He discovers onefactor by making a guess and dividing the polynomial, so he has p(x) = (x - 3)(x³ – x² - 7x + 3). Now he is trying tofactor x3 - x2-7x + 3, so he tries dividing it by (x + 3), then by (x + 1), and finally by (x – 1), but none works withouta remainder. Then Teo comes by and says, "You should look at the graph."a. How does thegraph help?%3D204b. Complete the problem.1510-3ol-5-102025-3035408-113.The graph of p(x) = x3 + 4x2 + x – 26 is shown.a. Use the graph to determine onesolution to p(x) = 0, then use theFactor Theorem to write a factor ofp(x).%3Db. Determine all the factors androots of p(x), including any withcomplex coefficients.%3D4- 24 x-10- 20+8-114.Consider the function f(x)=2/3(x-1)+5.a. What is the equation for the inverse of f(x)?b. Sketch the graph of both the original and the inverse134121110-8-6.5.-4--321.101.2 34 57 8 9 10 11 12 13-1 IM 3HW 8.3.28-112.Carlo is trying to factor the polynomial p(x) = x4 – 4x³ – 4x2 + 24x- 9 to determine all of its zeros. He discovers onefactor by making a guess and dividing the polynomial, so he has p(x) = (x – 3)(x³ – x² – 7x +3). Now he is trying tofactor x3 – x² – 7x + 3, so he tries dividing it by (x + 3), then by (x + 1), and finally by (x – 1), but none works withouta remainder. Then Teo comes by and says, "You should look at the graph."a. How does theb. Complete the problem.20415graph help?105-4-3-2-1234-5-10-16-2025-30-35-408-113.The graph of p(x) = x³ + 4x² + x - 26 is shown.a. Use the graph to determine onesolution to p(x) = 0, then use theFactor Theorem to write a factor ofb. Determine all the factors androots of p(x), including any withcomplex coefficients.%3Dp(x).-10-20+

Name: 8-112 IM 3 - HW 8.3.28-112.Carlo is trying to factor the polynomial p(
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Description: 8-112 IM 3 - HW 8.3.28-112.Carlo is trying to factor the polynomial p(x) = x4 – 4x3 – 4x2 + 24x –9 to determine all of its zeros. He discovers onefactor by making a guess and dividing the polynomial, so he has p(x) = (x - 3)(x³ – x² - 7x + 3). Now he