Question

x⁴+6x³+8x² factorize​

Answer 1

Answer:

x⁴+4x³+2x³+8x²

x³(x+4)+2x²(x+4)

(x³+2x²)(x+4)

Answer 2

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Factorise the quartic polynomial.

$\star\:\:\:\sf\large\underline\blue{Solution:-}$

$\sf {x}^{4} + 6 {x}^{3} + 8 {x}^{2}$

$\sf = {x}^{2} ( {x}^{2} + 6x + 8)$

$\sf = {x}^{2} ( {x}^{2} + 4x + 2x+ 8)$

$\sf = {x}^{2} (x(x + 4) + 2(x+4))$

$\sf = {x}^{2} (x + 2)(x + 4)$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

• $\sf {x}^{2} (x + 2)(x + 4)$