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Popular >

factor x^3+5x^2+8x+4

Solution

factor

x^{3} + 5 x^{2} + 8 x + 4

Solution

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

Solution steps

x^{3} + 5 x^{2} + 8 x + 4

Use the rational root theorem

= (x + 1) \frac{x ^{3} + 5 x ^{2} + 8 x + 4}{x + 1}

\frac{x ^{3} + 5 x ^{2} + 8 x + 4}{x + 1} = x^{2} + 4 x + 4

= (x + 1) (x^{2} + 4 x + 4)

Factor

x^{2} + 4 x + 4 : (x + 2) (x + 2)

= (x + 1) (x + 2) (x + 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

7(3x+9)=11-(x+3)

7 (3 x + 9) = 11 - (x + 3)

simplify-3/(4^2)simplify

- \frac{3}{4 ^{2}}

5 - 8 w \leq 11 - 6 w

4 x^{2} + 14 x = 5

factor (x-3)^2(2x+1)^3+(x-3)^3(2x+1)^2 factor

(x - 3)^{2} (2 x + 1)^{3} + (x - 3)^{3} (2 x + 1)^{2}

Frequently Asked Questions (FAQ)

What is factor x^3+5x^2+8x+4 ?
The solution to factor x^3+5x^2+8x+4 is (x+1)(x+2)^2