Question

a polynomial has been factored below, but some constants are missing. 2x^3-2x^2-24x=ax(x+b)(x+c) what are the missing values of a,b, and c?

Answer 1

Answer:

a=2, b= -4, c=3

Step-by-step explanation:

$2x^3-2x^2-24x=ax(x+b)(x+c)$

Find out the constants a,b and c

LEts factor the given expression

$2x^3-2x^2-24x$

GCF is 2x

$2x(x^2-x-12)$

Factor out x^2-x-12

Product is -12 and sum is -1

-4 times 3 is -12

-4 plus 3 is -1

$x^2-x-12 = (x-4)(x+3)$

$2x(x^2-x-12)$

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

The value of 'a' is 2

'b' is -4 and 'c' is 3