Q. 13.5( 2 Votes )
Find the remainder when y3 + y2 - 2y + 5 is divided by y - 5.
y3 + y2 - 2y + 5 ÷ y - 5
Apply long division method to find the remainder.
We can also find the remainder by Remainder Theorem
we should evaluate p(5)
Let p(y) = y3 + y2 - 2y + 5
... p(5) = 53 + 52 - 2 x 5 + 5
= 125 + 25 - 10 + 5
Thus, we find that p(5) is the remainder when
p(y) is divided by y - 5.
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