Find the quotient when x2 + 10x + 21 is divided by x + 7

The quotient is

Step-by-step explanation:

We first use the remainder theorem to determine whether is divisible by

:

the remainder is zero which means is divisible by .

Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.

is factored as

which means

which means the quotient is

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

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step-by-step explanation: