Question

Factor:
4x2 + 8xy - 3x - 6y
Which of the following is one of the factors?

(x – y)

(x + 3)

(4x – 3)

prime

Answer 1

\[4x ^{2}-8xy-3x+6xy\]

Answer 2

This requires a nice trick called Simon's Favorite Factoring Trick (SFFT): \[ \Large {4x^2 + 8xy - 3x - 6y = 4x(x+2y) - 3(x+2y) = (4x-3)(x+2y),} \] so 4x-3 is a factor. Do you see how that works?

Answer 3

i think so. let me study it for a moment

Answer 4

Sure! Let me know if you have questions. :)

Answer 5

k thanks i see how 4x-3 is a factor

Answer 6

No problem! :) Want to give me a medal? =P