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What is the quotient of (5x2 − 22x + 8) ÷ (x − 4)?

1 Answer

3 votes

Answer:

5x - 2

Explanation:

We can use synthetic division to find this quotient quickly (but factoring and long division, or even the quadratic formula, would also work).

Setting up synthetic div.:

4 / 5 -22 8

20 -8

---------------------

5 -2 0 This zero remainder tells us that (5x - 2) is a

factor, as is (x - 4).

(5x2 − 22x + 8)

Thus, (5x2 − 22x + 8) ÷ (x − 4) = ------------------------- = 5x - 2 (quotient)

x - 4

Here we may call the result either "factor" or "quotient".

User Dariusz Seweryn
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