Question

Find the factors of function g. g(x) = 2x^3 + x^2 - 22x + 24
Based on the factors, which statement is true about the graph of function f?

A.
The graph crosses the x-axis at the point .
B.
The graph crosses the x-axis at the point .
C.
The graph crosses the x-axis at the point .
D.
The graph crosses the x-axis at the point .

Answer 1

The function g(x) = 2x³ + x² - 22x + 24 will pass through a point (-4, 0). Then the correct ption is D.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

$g(x) = 2x^3 + x^2 - 22x + 24$

The factor of the function is given as

$g(x) = (x-2)(x+4)(2x-3)$

Then the value of x will be

$x = -4, 2, 1.5$

Then the g(x) will pass through (-4, 0).

More about the factorization link is given below.

https://brainly.com/question/6810544