One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5).
describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. include all intercepts in your answer.

x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation:

If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way:

Now factor the trinomial

Hence,

Thus, x-intercepts (points where f(x)=0) are

and y-intercept (point where x=0) is

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!