Factorize the following:
1. 6X^2+X-1
2. 4X^2-11X-3
3. 4X^2+4X-3
Factorization Questions?
2009-01-26 4:38 pm
回答 (5)
2009-01-26 4:47 pm
✔ 最佳答案
1)6x^2+x-1
6x^2+3x-2x-1
3x(2x+1)-1(2x+1)
(2x+1)(3x-1)
2)
4X^2-11X-3
4x^2-12x+x-3
4x(x-3)+1(x-3)
(x-3)(4x+1)
3)
4x^2+4x-3
4x^2-6x+2x-3
2x(2x-3)+1(2x-3)
(2x-3)(2x+1)
2009-01-27 1:03 am
1)
6x^2+x-1
6x^2+3x-2x-1
3x(2x+1)-1(2x+1)
(2x+1)(3x-1)
2)
4X^2-11X-3
4x^2-12x+x-3
4x(x-3)+1(x-3)
(x-3)(4x+1)
3)
4x^2+4x-3
4x^2-6x+2x-3
2x(2x-3)+1(2x-3)
(2x-3)(2x+1)
go backwards to double check
6x^2+x-1
6x^2+3x-2x-1
3x(2x+1)-1(2x+1)
(2x+1)(3x-1)
2)
4X^2-11X-3
4x^2-12x+x-3
4x(x-3)+1(x-3)
(x-3)(4x+1)
3)
4x^2+4x-3
4x^2-6x+2x-3
2x(2x-3)+1(2x-3)
(2x-3)(2x+1)
go backwards to double check
2009-01-27 12:52 am
1.
6x^2 + x - 1
= 6x^2 + 3x - 2x - 1
= 3x(2x + 1) - 1(2x + 1)
= (2x + 1)(3x - 1)
2.
4x^2 - 11x - 3
= 4x^2 + x - 12x - 3
= (4x^2 + x) - (12x + 3)
= (4x + 1)(x - 3)
3.
4x^2 + 4x - 3
= 4x^2 + 6x - 2x - 3
= 2x(2x + 3) - 1(2x + 3)
= (2x + 3)(2x - 1)
6x^2 + x - 1
= 6x^2 + 3x - 2x - 1
= 3x(2x + 1) - 1(2x + 1)
= (2x + 1)(3x - 1)
2.
4x^2 - 11x - 3
= 4x^2 + x - 12x - 3
= (4x^2 + x) - (12x + 3)
= (4x + 1)(x - 3)
3.
4x^2 + 4x - 3
= 4x^2 + 6x - 2x - 3
= 2x(2x + 3) - 1(2x + 3)
= (2x + 3)(2x - 1)
2009-01-27 12:48 am
1)
6x^2 + x - 1
= 6x^2 + 3x - 2x - 1
= (6x^2 + 3x) - (2x + 1)
= 3x(2x + 1) - 1(2x + 1)
= (2x + 1)(3x - 1)
2)
4x^2 - 11x - 3
= 4x^2 + x - 12x - 3
= (4x^2 + x) - (12x + 3)
= x(4x + 1) - 3(4x + 1)
= (4x + 1)(x - 3)
3)
4x^2 + 4x - 3
= 4x^2 + 6x - 2x - 3
= (4x^2 + 6x) - (2x + 3)
= 2x(2x + 3) - 1(2x + 3)
= (2x + 3)(2x - 1)
6x^2 + x - 1
= 6x^2 + 3x - 2x - 1
= (6x^2 + 3x) - (2x + 1)
= 3x(2x + 1) - 1(2x + 1)
= (2x + 1)(3x - 1)
2)
4x^2 - 11x - 3
= 4x^2 + x - 12x - 3
= (4x^2 + x) - (12x + 3)
= x(4x + 1) - 3(4x + 1)
= (4x + 1)(x - 3)
3)
4x^2 + 4x - 3
= 4x^2 + 6x - 2x - 3
= (4x^2 + 6x) - (2x + 3)
= 2x(2x + 3) - 1(2x + 3)
= (2x + 3)(2x - 1)
2009-01-27 12:45 am
1. (3x - 1)(2x + 1)
2. (4x + 1)(x - 3)
3. (2x + 3)(2x - 1)
2. (4x + 1)(x - 3)
3. (2x + 3)(2x - 1)
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