Question

Write an expression in factored form for the polynomial of least possible degree graphed below.

i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!

Answer 1

- 1/64 (x+4)² (x-3) (x-4) = 0

Explanation:

f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis

x=0 f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0