-3/4x^2 + 9.75x - 31.5
2006-08-17 18:56:56 · 15 answers · asked by satirecafe 3 in Science & Mathematics ➔ Mathematics
sorry i meant expression
2006-08-17 19:01:42 · update #1
Multiply everything by (-4/3) to get something more reasonable looking: x^2 - 13 + 42
Should be easy from there.
(Hint: It's (x - 7)(x - 6) )
And do your own homework!! :-)
2006-08-17 19:00:55 · answer #1 · answered by Nick 2 · 1⤊ 0⤋
Generally speaking, you are better off dealing in fractions than in decimal numbers. The factors are easier to see that way. For example, your expression in fractions is:
(-3/4)x^2 + (39/4)x - 126/4, which, on inspection becomes:
-3x^2 + 39x - 126 ==> -x^2 + 13x - 42
==> x^2 - 13x + 42 ==> (x - 7)(x -6) by inspection.
2006-08-17 19:11:41 · answer #2 · answered by oldprof 7 · 1⤊ 0⤋
-3/4x^2 + 9.75x - 31.5
= -3/4x^2 + 9 3/4x - 31 2/4
= -3/4x^2 +39/4x - 126/4
= 1/4(-3x^2 + 39x - 126)
= 3/4(-x^2 + 13x - 42)
= -3/4(x^2 - 13x + 42)
= -3/4(x - 6)(x - 7)
2006-08-17 19:25:05 · answer #3 · answered by ideaquest 7 · 0⤊ 0⤋
Multiplying throughout by (-4/3), you get
(-3/4)(-4/3)x^2 + 9.75(-4/3)x - 31.5(-4/3) = x^2 -13+42 = (x-7)(x-6)
2006-08-17 19:22:04 · answer #4 · answered by Julian 3 · 0⤊ 0⤋
-3/4x^2 + 9.75x - 31.5
-3/4x^2 + 9 3/4x - 31 1/2
-3/4x^2 + 39/4x - 63/2
-1 (3/4x^2 - 39/4x + 126/4)
-3/4 (x^2 - 13x + 42)
-3/4 (x - 7)(x -6)
2006-08-17 19:15:26 · answer #5 · answered by doolph2002 4 · 0⤊ 0⤋
-3/4 x² + 9.75 x - 31.5
It is quite difficult and impracticable to guess for possible pairs at this point, but you can try several techniques to simplify the coefficients
We can remove the decimals/fractions by factoring them out
= 0.25 (-3x² + 39 x - 126)
To simplify the sign, also factor it out
= -0.25(3x² - 39x + 126)
There is still a common factor
= -0.25(3)(x² - 13x + 42)
= -0.75(x² - 13x + 42)
The terms are now (much more) simpler than before
= -0.75(x - 6)(x - 7)
= -3/4 (x - 6)(x - 7)
Thus factored!
^_^
2006-08-18 01:27:51 · answer #6 · answered by kevin! 5 · 0⤊ 0⤋
factoring is simplifying a equation... x²+8x+12 so which you may take the climate of 12: a million,12 2,6 3,4 then you extremely discover the pair that provides to grant you 8. consequently its 2 and six. so then you extremely write (x+6)(x+2)
2016-12-17 12:54:37 · answer #7 · answered by ? 4 · 0⤊ 0⤋
(-3/4)x^2 + 9.75x - 31.5
(-3/4)x^2 + (39/4)x - (126/4)
(-3/4)(x^2 - 13x + 42)
(-3/4)(x - 7)(x - 6)
2006-08-18 04:23:56 · answer #8 · answered by Sherman81 6 · 0⤊ 0⤋
Go for a consultant book of mathematics.By the way in which standard are you?
2006-08-17 19:02:40 · answer #9 · answered by Sugandh K 2 · 0⤊ 0⤋
I do not think we are here to do kids homework...
RE-learn quadratic equations, they are in your book.
2006-08-17 22:18:44 · answer #10 · answered by just "JR" 7 · 0⤊ 0⤋