Question

Find a if 2y + 3 is a factor of 2y3 + 9y2 – y – a.​

Answer 1

Answer:

A=15

Step-by-step explanation:

p(x)=2y³+9y²-y-a

factor is 2y+3by remainder theorem we can say that

=p(-3/2)=p(x)=0

=2(-3/2)³+9(-3/2)²-(-3/2)-a

=2(-27/8)+9(9/4)+3/2-a=0

=27/4+81/4+6/4-a=0

=27+81+6/4-a=0

=60/4-a=0

=15-a=0

=-a-15