The idea is to use the zero product property in reverse to go from the roots to the factorization. Then you expand out the polynomial using the distributive property.
x = 5 or x = 7 or x = -8
x-5 = 0 or x-7 = 0 or x+8 = 0
(x-5)(x-7)(x+8) = 0
(x-5)(x^2+x-56) = 0
x(x^2+x-56) - 5(x^2+x-56) = 0
x^3+x^2-56x -5x^2-5x+280 = 0
x^3-4x^2-61x+280 = 0
f(x) = x^3 - 4x^2 - 61x + 280
<h3>Answer: Choice D</h3>
Here,
tomato = 14
onion = 4
then,
ratio of tomato to onion = 14/4
= 7/2
If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
A y=2x + 3
Step-by-step explanation:
