Question

12x²+9x³-6x⁴
Find the GCF

Answer 1

Answer:

3x^2

Step-by-step explanation:

For numerical part :

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 9 : 1, 3, 9

Factors of -6 : 1, -1, 2, -2, 3, -3, 6, -6

Greatest Common factor of Numerical part is 3

For Variables part:

Factors of x^2 = x , x

Factors of x^3 = x, x, x

Factors of x^4 = x, x, x, x

Greatest Common factor of variable part is x^2

Thus, the Greatest Common Factor of the given expression is 3 x^2

Alternate Method

Given Expression = 3x^2(4+3x-2x^2)

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

further factorisation is not possible

so, the GCF is 3x^2