Question

(a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x + 5x2 - 2x - 10, that is, solve f(x) = 0, (b) Factor f(x) into linear factors (a) Select the correct choice below and fill in any answer box(es) within your choice (Use a comma to separate answers as needed) O A. There are only rational zeros and they are OB. There is only one rational zero, and the other zeros are OC. There are no rational zeros. The other zeros are (b) The factorization of f(x) into linear factors is (Type an expression using x as the variable.)

Answer 1

F(x) = x² + 5x² - 2x-10 & Divisors of 10 The possible national zeros are I Divisors of 1 Divison of constant terom Divison of highest coefficient that is 7 (1,5, 2 ) 1,5,2,-1,- 5, 2 1 We have P(-5) = + 5x5 -2xl-5)-10 = 0 X=-5 is a national Zono of P(x) = 0 x² + 5x2 - 92-10 x3 + 5x2 – 2a-10=0 2²x+5) -2(x+5) = (x+5) (222) Eithen x2q = 0 xt 520 x = -5 65)+ 5x5 .50 now, x = 2 2 B) There is only one national zero I 2 -5 and the other zeros ane b The factorization of Pex) into linear Factor is (x+5) (2+82) (2-82) (as as x²2 = (2) 2 (2) 2 Oc+V2) (x=v2)