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4n — 6(3 — n) + _ = 10n —15

2 Answers

5 votes

Answer:

n • (2n - 5)

——————————————————————

5 • (n - 5) • (3n - 1)

Explanation:

User Dexter
by
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5 votes

Answer:

n • (2n - 5)

——————————————————————

5 • (n - 5) • (3n - 1)

Explanation:

4.3 Factoring 3n2 - 16n + 5

The first term is, 3n2 its coefficient is 3 .

The middle term is, -16n its coefficient is -16 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -16 .

-15 + -1 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -1

3n2 - 15n - 1n - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

3n • (n-5)

Add up the last 2 terms, pulling out common factors :

1 • (n-5)

Step-5 : Add up the four terms of step 4 :

(3n-1) • (n-5)

Which is the desired factorization

User Jpetazzo
by
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