Question

Factorization

Answer 1

when you are asked to factor \[4x ^{2}-25\]
what immediately comes to mind is \[(a-b)(a+b)\]
So, what comes to mind when you are asked to factor:
\[x ^{3}-3x ^{2}-4x+12\]

Answer 2

The coefficients suggest tying \(x \pm 3\) or \(x \pm 4\). As it happens, three of the four possibilities pay off.

Answer 3

@ganeshie8 here question is right?

Answer 4

this question will be solved by completing square as shown below
(2x)^2 -(5)^2
by applying this formula
a^2 - b^2=(a+b)(a-b)
=(2x+5)(2x-5)

Answer 5

in the next question
\(x^3-3x^2-4x+12\)

Answer 6

by taking common
=\(x^2(x-3)-4(x-3)\)

=\((x^2-4)(x-3)\)

=\((x^2-2^2)(x-3\))

=\((x+2)(x-2)(x-3\))

Answer 7

oooooh thnks!

Answer 8

that is called factoring by grouping as nicely demonstrated by ziqbal103

Answer 9

how many types of factoring are there?

Answer 10

@precal