What is factor 4k^3+12k^2+11k+3 ?

The solution to factor 4k^3+12k^2+11k+3 is (k+1)(2k+1)(2k+3)

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factor 4k^3+12k^2+11k+3

factor

4 k^{3} + 12 k^{2} + 11 k + 3

(k + 1) (2 k + 1) (2 k + 3)

Solution steps

4 k^{3} + 12 k^{2} + 11 k + 3

Use the rational root theorem

= (k + 1) \frac{4 k ^{3} + 12 k ^{2} + 11 k + 3}{k + 1}

\frac{4 k ^{3} + 12 k ^{2} + 11 k + 3}{k + 1} = 4 k^{2} + 8 k + 3

= (k + 1) (4 k^{2} + 8 k + 3)

Factor

4 k^{2} + 8 k + 3 : (2 k + 1) (2 k + 3)

= (k + 1) (2 k + 1) (2 k + 3)

\frac{1}{∣ x - 1 ∣} < \frac{1}{∣ x + 2 ∣}

220 - 20 + 320 - 245

\frac{4}{3 ^{3}}

\frac{\frac{1}{y} + \frac{1}{x}}{\frac{x}{y} - \frac{y}{x}}

\frac{x ^{2} - y ^{2}}{x - y}

What is factor 4k^3+12k^2+11k+3 ?
The solution to factor 4k^3+12k^2+11k+3 is (k+1)(2k+1)(2k+3)