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7: x^2 - 21x + 108
(x - 12)(x - 9)
(x - 11)(x - 9)
(x + 12)(x - 9)


8: 2x^2 - 16x + 32
2(x + 4)(x - 4)
2(x - 4)(x - 4)
(x - 4)(x - 4)


9: 3x^2 - 18x - 216
(x - 12)(x + 6)
3(x - 6)(x + 12)
3(x - 12)(x + 6)


10: 81x^2 - 180x + 100
3(9x - 10)(9x - 10)
(9x + 10)(9x - 10)
(9x - 10)(9x - 10)


11: 9x^2 + 66x + 121
(3x - 11)(3x + 11)
(3x + 11)(3x + 11)
3(x + 11)(x + 11)

2007-04-19 04:39:38 · 4 answers · asked by me1026 1 in Education & Reference Homework Help

4 answers

Why didn't you at least post your thoughts on the answers? Then we could HELP you with your homework, not do it for you.

Think about these things:
A. With FOIL, the numbers in these answers must equal the last (number) term in the polynomial. Any answer that does not do this must be wrong.
B. In polynomials, if the last term is positive, the factors must either fit the pattern ( - ) ( - ) or ( + ) ( + ). Mixed signs would be wrong, and would indicate a NEGATIVE 3rd term.
C. All or part of numbers being multiplied by the first [x^2] term can usually be factored out of all the terms. But not always.
D. Add up F*L and I*O to see what matches the second term.

Having said this, and using these rules, we can easily see that the answers are -
7: the first one
8: the second one
9: the third one
10: the third one
11. the second one

2007-04-19 04:54:38 · answer #1 · answered by Anonymous · 1 0

7) (x-12)(x-9)
8)2(x-4)(x-4)
9)3(x-12)(x-6)
10)(9x - 10)(9x - 10)
11)(3x + 11)(3x + 11)

2007-04-19 05:35:08 · answer #2 · answered by Smeet 2 · 0 0

7. (x-12)(x-9)
8. 2(x-4)(x-4)
9.3(x-12)(x+6)
10. (9x-10)(9x-10)
11. (3x+11)(3x+11)

2007-04-19 07:57:54 · answer #3 · answered by Dave aka Spider Monkey 7 · 0 0

7.)a 8.)b 9.) b 10).c 11.)b
I agree with response above. Having answers without knowing how they are achieved will teach you nothing.
This is a great resource use it to learn not cheat.

2007-04-19 04:56:05 · answer #4 · answered by dwinbaycity 5 · 0 0

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