asked 85.4k views
2 votes
98 points! Easy! Show work!

98 points! Easy! Show work!-example-1

2 Answers

5 votes
Hello there!~

a² - 6a + 9

The factorization of that is (a - 3)²


6h² + h - 70

The factorization of this is (3h - 10)(2h + 7)

I'm gonna take a look at the other questions.
answered
User Dineshkashera
by
8.0k points
3 votes
9) (a -3)²

10) (3h -10)(2h +7)

There's an interesting method for factoring expressions of the second type. You write (6h + __)*(6h + __) where the numbers that go in the blanks are factors of 6*-70 (the product of first and last coefficients) that add to +1 (the h coefficient). Since those factors are nearly the opposite (their sum is 1), they are both near √420, which is near 20.5. So, the blanks get filled with -20 and +21 and you have
.. (6h -20)(6h +21)
This product is too large by a factor of 6, so we need to remove a factor of 6 from it. Neither binomial is divisible by 6, but the first is divisible by 2 and the second is divisible by 3. The result of dividing out those factors is shown above as your solution.
answered
User Mansur Khan
by
7.3k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.