How do you use the remainder theorem to find the remainder for the division #(y^3+y^2-10)div(y+3)#?

Question

1270 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-06T16:45:30

# -28.#

As per the Remainder Theorem, when a poly. #P(y)# is divided by

#(y-alpha),# the remainder is #P(alpha).#

Therefore, in our case, with, #P(y)=y^3+y^2-10,# we have,

#"The Remainder="P(-3),#

#=(-3)^3+(-3)^2-10,#

#=-27+9-10,#

#=-28.#