What is factor 12x^4+12x^3+15x^2+12x+3 ?

The solution to factor 12x^4+12x^3+15x^2+12x+3 is 3(2x+1)^2(x^2+1)

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factor 12x^4+12x^3+15x^2+12x+3

factor

12 x^{4} + 12 x^{3} + 15 x^{2} + 12 x + 3

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

Solution steps

12 x^{4} + 12 x^{3} + 15 x^{2} + 12 x + 3

Factor out common term

3 : 3 (4 x^{4} + 4 x^{3} + 5 x^{2} + 4 x + 1)

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

Factor

4 x^{4} + 4 x^{3} + 5 x^{2} + 4 x + 1 : (2 x + 1) (2 x + 1) (x^{2} + 1)

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

Apply exponent rule:

aa = a^{2}

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

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

4 x^{2} - 16 \geq 0

8 - x = 10

\frac{π}{\frac{π}{2}}

- 9 x^{3} + 72 x^{5}

(8 x)^{\frac{2}{3}}

What is factor 12x^4+12x^3+15x^2+12x+3 ?
The solution to factor 12x^4+12x^3+15x^2+12x+3 is 3(2x+1)^2(x^2+1)