Question

factor of x^4+2x^2+9

Answer 1

x^4+2x^2 +9

X^4+9+2x^2

(X^2+3)^2-6x^2+2x^2

(x^2+3)^2  -4x^2

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

Answer 2

BE BRAINLY

${x}^{4} + 2 {x}^{2} + 9 \\ \\add \: and \: subract \: 2 {x}^{3} \\ \\ = {x}^{4} - 2 {x}^{3} + 2 {x}^{3} + 2 {x}^{2} + 9 \\ = {x}^{4} - 2 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} \\ \: \: + 3 {x}^{2} + 9 \\ = {x}^{4} - 2 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} \\ \: \: + 3 {x}^{2} + 6x - 6x + 9 \\ \\ \: \: \: rearrange \\ \\ = {x}^{4}- 2 {x}^{3} + 3 {x}^{2} + 2 {x}^{3}- 4 {x}^{2} \\ \: \: + 6x + 3 {x}^{2} - 6x + 9 \\ \\ = {x}^{2} ( {x}^{2} - 2x + 3) + 2x( {x}^{2} - 2x + 3) \\ \: \: \: + 3( {x}^{2} - 2x + 3) \\ \\ = ( {x}^{2} - 2x + 3) ( {x}^{2} - 2x + 3)$
Hope it helps you

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