Question

find the remainder when y3 + y2 - 2y + 5 is divided by y-5​

Answer 1

Step-by-step explanation:

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Answer 2

We have to find the remainder when y³ + y² - 2y + 5 is divided by (y - 5).

Remainder theorem : “It states that when a polynomial p(x) is divided by a factor (x - a) where (x - a) is not necessarily an element of the factors of p(x), we will find a smaller degree polynomial along with remainder and the remainder will be obtained by P(a) ”

In short, “when a polynomial p(x) is divided by (x - a), Remainder will be p(a).”

here, P(y) = y³ + y² - 2y + 5 is divided by (y - 5)

according to theorem, remainder = P(5)

P(5) = 5³ + 5² - 2(5) + 5

= 125 + 25 - 10 + 5

= 145

Therefore the remainder is 145