factor each of the polynomials completely: 14x^2 - 20x +6?

2 ⤊

factor each of the polynomials completely: 14x^2 - 20x +6?

2007-08-19 08:46:29 · 2 answers · asked by CelticMoonGoddess 2 in Science & Mathematics ➔ Mathematics

2 answers

(7x - 3) (2x - 2)
2 (7x - 3) (x - 1)

2007-08-22 07:21:48 · answer #1 · answered by Como 7 · 2⤊ 0⤋

14x^2 - 20X + 6

factor out 2
2 (7x^2 - 10x + 3)

find two numbers that multiply to 21 and add to -10

the two numbers are -3 and -7. Replace the middle term

2 [ 7x^2 - 7x - 3x + 3 ]

factor by groups
2 [ (7x^2 - 7x) - (3x - 3) ]

factor out GCF
2 [7x (x - 1) - 3(x - 1) ]

factor out x - 1

2 (x - 1) (7x - 3)

2007-08-19 15:58:23 · answer #2 · answered by 7 · 0⤊ 2⤋