Question

The fractorisation of 20x²-28x³+24x⁴ is​

Answer 1

Step-by-step explanation:

Given :-

20x²-28x³+24x⁴

Correction :-

-20x²-28x³+24x⁴

To find :-

Factorize the given expression ?

Solution :-

Given expression is -20x²-28x³+24x⁴

On writing it in the standard form then it becomes

24x⁴-28x³-20x²

=> (6×4×x²×x²)-(7×4×x²×x)-(5×4×x²)

On taking 4x² as common in all the terms then

=> 4x² [(6×x²)-(7×x)-(5)]

=> 4x² ( 6x² -7x -5)

=> 4x² ( 6x²+3x-10x-5)

=> 4x² [ 3x(2x+1) -5(2x+1)]

=> 4x²(2x+1)(3x-5)

-20x²-28x³+24x⁴ = 4x²(2x+1)(3x-5)

Answer :-

The factorization of -20x²-28x³+24x⁴ is

4x²(2x+1)(3x-5)

Used Method:-

→ Splitting the middle term.