Today, our teacher sat us in front of a computer and had us do 15 of these problems. I didn't even finish one, I was so confused and did NOT know when to start, so of course you don't have to do every one of these, but if you can take one through with steps or something, I would REALLY, REALLY appreciate it!! Thanks so much!
Put into factored form:
60x-42
4x^2-196
9x^2-1
2006-09-12 17:38:06 · 7 answers · asked by Anonymous in Education & Reference ➔ Homework Help
60x-42
you have to find what number will divide into both evenly (6)
so bring out 6 like this..
6(10x-7)
4x^2-196
this one is a special problem (a perfect square) but since the 196 has a - sign in front of it you have to make two problems out of it a + and - like this....
now the square root of 4 is 2 and 196 is 14
(2x-14)(2x+14)
9x^2-1
this one is a special problem (a perfect square) but since the one has a - sign in front of it you have to make two problems out of it a + and - like this....
now the square root of 9 is three and square root of 1 is 1
(3x+1)(3x-1)
2006-09-12 17:58:01 · answer #1 · answered by Anonymous · 1⤊ 0⤋
2) (2x -14) (2x + 14)
3) (3x +1) (3x -1)
First one is kinda tough..might be a cube factor.
I've never been good with factoring but heres what I do: look at the numbers and see if there is anything odd about them: squares indicate that two of the terms likely have the variable which is almost always has a cofficient of the square root of that number. Also the number on the end is key as well: the 196 was a dead giveaway as it has a clean square root: 14 so you know the other term is 14. Then just try different FOIL multiplication combinations until you get it. That first one not sure of factoring and long division are the parts of math I always hated.
2006-09-13 00:52:00 · answer #2 · answered by midwestbruin 3 · 0⤊ 1⤋
You should commit to memory this fact: The difference between perfect squares alway factors into the product of sum and difference of the square roots. Thus (a^2 - b^2) = (a+b)*(a-b). This comes up all the time.
2006-09-13 03:18:40 · answer #3 · answered by gp4rts 7 · 1⤊ 0⤋
60x-42 = 6(10x-7)
4x^2-196 = (2x+14)(2x-14)
9x^2-1 = (3x-1)(3x+1)
2006-09-13 00:47:34 · answer #4 · answered by Anonymous · 0⤊ 0⤋
The last one is (3x + 1) (3x - 1)
Difference of squares.
2006-09-13 00:48:15 · answer #5 · answered by want it bad 5 · 0⤊ 0⤋
You cannot mix terms. The questions are the answers.
2006-09-13 00:42:58 · answer #6 · answered by LeBlanc 6 · 0⤊ 1⤋
4x^2-196... 4(x-7)(x+7)...
60x-42... 2(30x-21)...
9x^2-1... dunno...
2006-09-13 00:43:36 · answer #7 · answered by PisayCesium 2 · 0⤊ 0⤋