What is the remainder when the polynomial 5x2+10x−15 is divided by x + 5? enter your answer in the box.

Given equation is

Solution:

We will divide the leading coefficients of the numerator and divisor

= so, quotient is 5x

Multiplying divisor x+5 by 5x we have

We will now subtract from and we get the new remainder as

becomes

Now again divide the leading coefficient of numerator with x

new quotient is -15.

Now multiplying x+5 by -15 =

We will subtract this from -15x-15 to get a new remainder

Now remainder becomes 60

So,

The new equation becomes =

The remainder is 60.

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step-by-step explanation: