Question

Find the value of a if 2x-3 is a factor of 6x³ + 19x² + 13x + a #SOLVE BY LONG DIVISION METHOD IF POSSIBLE WITH FULL SOLUTION

Answer 1

6x^3+19x^2+13x+a÷2x-3

2x-3=0

2x=3

x=3/2

p(x) = 6x^3+19x^2+13x+a

p(3/2) = 6(3/2)^3+19(3/2)^2+13(3/2)+a

=6(27/8)+19(9/4)+13(3/2)+a

81/4+171/4+39/2+a=0

330/4+a=0

a=0-330/4

a= -330/4