Question

One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Answer 1

@snowflake0531 i need ur helpppp

Answer 2

Uhhhh well, first
Do you know how to factor x-3 from that using synthetic or long polynomial division?

Answer 3

no maam

Answer 4

let me try rq

Answer 5

It didn't say that you couldn't use technology to factor out -3 ;)

Answer 6

\[ x^3 − 6x^2 + 11x − 6 = (x-3)(x^2-3x+2)\] Can you factor x^2 -3x +2 ?

Answer 7

yes

Answer 8

well what do you get

Answer 9

(x-2)(x-1)

Answer 10

Yes so we have\[(x-3)(x-2)(x-1)\] from there, I think that you should be able to figure out the x intercepts

Answer 11

And to find the y intercept, plug in x as 0

Answer 12

so (x−3)(x−2)(x−1) is the start of the problem??

Answer 13

yes that's factored form

Answer 14

ok thnxx

Answer 15

yw~