Question

Find the value of a and b if (x + 2) and (x - 3) are factors of 2x^3 + ax^2 + 7x- b.

Answer 1

Answer:

a=-21 b=-114

Step-by-step explanation:

if x+2 and x-3 are factors of given polynominal,x=-2 and x=3 must be their roots.

putting the values

-16+4a-14-b=0

4a-b=30 eq-1

54+9a+21-b=0

9a-b=-75 eq-2

solve eq 1 and 2 for values of a and b.

a=-21 b=-114