Question

4

2
2468
-10
2 4
A. y = (x+4)³(x + 2)(x - 1)
C. y = (x+4)(x + 2)(x - 1)³
Identify the equation
for the graph.
B. y = (x+4)(x + 2)²(x - 1)
D. y = (x+4)(x + 2)(x-1)

Answer 1

D

Explanation:

given the roots of a polynomial x = a, x = b , x = c

then the factors are (x - a) , (x - b) , (x - c)

the polynomial is then the product of the factors

y = (x - a)(x - b)(x - c)

here the roots , where the graph crosses the x- axis, are

x = - 4 , x = - 2 , x = 1

then the factors are

(x - (- 4) ) , (x - (- 2) ) , (x - 1) , that is

(x + 4) , (x + 2) , (x - 1)

Then

y = (x + 4)(x + 2)(x - 1)