find the value of a , if the polynomial p(y) =ay3+ 9y2 +4 y -10 is divided by (y-3)leaves a remainder -22
Answers
Answered by
1
See the photo attached for solution
Answered by
2
Answer:
Step-by-step explanation:
Divisor = y-3
So , y-3=0
y=3
Now,
p(y)=ay3+9y2+4y-10
Where y=3
# substituting the value of y in polynomial p(y)
→a(3)^3+9(3)^2+4(3)-10=-22
→27a+9(9)+12-10=-22
→27a+81+2=-22
→27a+83=-22
→27a=-22-83
→27a= - 105
→a= -105/27
→a= -35/9 [ANSWER]
Thank you
Similar questions