Question

if X + 2 and X + 3 are factors of x cube + a x + b find the values of a and b​

Answer 1

Step-by-step explanation:

x+2, x+3

x=-2, -3

$x3 + ax + b$

put the values of x and make 2 equation

(-2)3 +a(-2)+b............1 eq

(-3)3+a(-3)+b.......2eq

-2a+b=8....3.eq

-3a+b=27....4eq

elimate it

a=-19

b=46