What is factor x^4+7x^2+18x+10 ?

The solution to factor x^4+7x^2+18x+10 is (x+1)^2(x^2-2x+10)

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factor x^4+7x^2+18x+10

factor

x^{4} + 7 x^{2} + 18 x + 10

(x + 1)^{2} (x^{2} - 2 x + 10)

Solution steps

x^{4} + 7 x^{2} + 18 x + 10

Use the rational root theorem

= (x + 1) \frac{x ^{4} + 7 x ^{2} + 18 x + 10}{x + 1}

\frac{x ^{4} + 7 x ^{2} + 18 x + 10}{x + 1} = x^{3} - x^{2} + 8 x + 10

= (x + 1) (x^{3} - x^{2} + 8 x + 10)

Factor

x^{3} - x^{2} + 8 x + 10 : (x + 1) (x^{2} - 2 x + 10)

= (x + 1) (x + 1) (x^{2} - 2 x + 10)

Apply exponent rule:

aa = a^{2}

(x + 1) (x + 1) = (x + 1)^{2}

= (x + 1)^{2} (x^{2} - 2 x + 10)

\frac{x ^{2} + 10 x - 24}{x - 2}

x^{3} - x^{2} - 25 x + 25

2 \times \frac{1}{9}

27 \times 3

\frac{20 x}{100 x}

What is factor x^4+7x^2+18x+10 ?
The solution to factor x^4+7x^2+18x+10 is (x+1)^2(x^2-2x+10)