One factor of the function f(x) = x3 − 7x2 + 14x − 8 is (x − 4). Describe how to find the x-intercepts and the y-intercept of the graph of f(x). Show your work and include all intercepts in your answer.

Step-by-step explanation:

x-4=0

x=4

i solve by synthetic division.

4| 1  -7   14   -8

 |     4  -12    8

 ___________

 | 1  -3    2   | 0

x-intercepts are (4,0),(1,0),(2,0)

put x=0

y=-8

y -intercept is (0,-8)

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb