Question

Factor 3x2-20x+28

Answer 1

(x-2)(3x-14)

Answer 2

Thanks

Answer 3

No problem!

Answer 4

Example: 3x2 – 20x + 28

1. Find the First Terms whose product is 3x2
(3x + ) (x + )
2. List all pairs of factors of the constant 28.
1 and 28, -1 and -28, 2 and 14, -2 and -14, 4 and 7, -4 and -7

Since we have a – in the middle and a + on the end, let’s try two negatives
3. Try various combinations of these factors. Use FOIL to check.
(3x - 7) (x – 4) = 3x2 - 12x - 7x + 28 = 3x2 -19x +28
(3x – 4 ) (x – 7 ) = 3x2 - 21x - 4x + 28 = 3x2 - 25x +28
(3x – 2 ) (x – 14) = 3x2 - 42x - 2x + 28 = 3x2 - 44x +28
(3x – 14 ) (x – 2 ) = 3x2 - 6x - 14x + 28 = 3x2 - 20x +28

So, (3x – 14 ) (x – 2) is the correct factorization for 3x2 - 20x +28