Question

Use the given factor and the graph of the 3rd

degree polynomial to determine the missing
factor:
One factor is: x² + 2x +4
The graph is: x-intercept (1, 0)
Where's the y-intercept?
Type the missing factor in the space below

Answer 1

(x - 1) is the missing factor

Explanation:

given the graph of f(x) with zero x = a , then (x - a) is a factor of f(x)

here the graph crosses the x- axis at x = 1 , that is zero is x = 1 , then

(x - 1) is the missing factor of f(x)

the polynomial is the product of its factors , that is

f(x) = (x² + 2x + 4)(x - 1) ← distribute

= x³ + x² + 2x - 4 ← is the polynomial of degree 3