Question

4x^4 + 7x^2 - 2
Factorie it PLEASE​

Answer 1

Step-by-step explanation:

LET X^2 BE A

4A^2+7A-2

4A^2-A+8A-2

A(4A-1)+2(4A-1)

(4A-1)(A+2)

PUTTING THE VALUE OF A

(4×X^2 -1)(X^2+2)

(4X^2-1)(X^2+2)

((2X)^2-(1)^2) (X^2+2)

(2X+1)(2X-1)(X^2+2)

MARK AS BRAINIST

Answer 2

Let x² =p, then the equation 4x⁴ +7x² −2

becomes 4p² +7p−2

Consider the expression 4p² +7p−2 and factorise it as follows:

4p² +7p−2= 4p² +8p−p−2=4p(p+2)−1(p+2)

=(4p−1) (p+2)

Now, substitute the value of p as p=x²:

(4p−1)(p+2) = (4x²−1)(x²+2) = (2x+1) (2x−1) (x² +2)

(Using identity a² −b² = (a+b) (a−b)

Hence, 4x⁴ +7x²−2

= (2x+1) (2x−1) (x² +2)