Question

x power 4 +6x power 3 +8x power 2 factorize​

Answer 1

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Factorise the quartic polynomial.

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

$\sf = {x}^{2} ( {x}^{2} + 6x + 8)=x2(x2+6x+8)$

$\sf = {x}^{2} ( {x}^{2} + 4x + 2x+ 8)=x2(x2+4x+2x+8)$

$\sf = {x}^{2} (x(x + 4) + 2(x+4))=x2(x(x+4)+2(x+4))$

$\sf = {x}^{2} (x + 2)(x + 4)=x2(x+2)(x+4)$

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$\sf {x}^{2} (x + 2)(x + 4)x2(x+2)(x+4)$

Answer 2

Step-by-step explanation:The numerical coefficient in the given monomials are 12 and 36.

               The highest common factor of 12 and 36 is 12.

               But there is no common literal appearing in the given monomials 12x and 36.

               The highest common factor = 12.