What is factor 3x^4-4x^3-12x^2+5 ?

The solution to factor 3x^4-4x^3-12x^2+5 is (x+1)^2(3x^2-10x+5)

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factor 3x^4-4x^3-12x^2+5

factor

3 x^{4} - 4 x^{3} - 12 x^{2} + 5

(x + 1)^{2} (3 x^{2} - 10 x + 5)

Solution steps

3 x^{4} - 4 x^{3} - 12 x^{2} + 5

Use the rational root theorem

= (x + 1) \frac{3 x ^{4} - 4 x ^{3} - 12 x ^{2} + 5}{x + 1}

\frac{3 x ^{4} - 4 x ^{3} - 12 x ^{2} + 5}{x + 1} = 3 x^{3} - 7 x^{2} - 5 x + 5

= (x + 1) (3 x^{3} - 7 x^{2} - 5 x + 5)

Factor

3 x^{3} - 7 x^{2} - 5 x + 5 : (x + 1) (3 x^{2} - 10 x + 5)

= (x + 1) (x + 1) (3 x^{2} - 10 x + 5)

Apply exponent rule:

aa = a^{2}

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

= (x + 1)^{2} (3 x^{2} - 10 x + 5)

(2 x + 1) (x^{2} - 5 x - 7)

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

- 5 \times 8

7 \times (- 7)

9^{l o g_{3} (4)}

What is factor 3x^4-4x^3-12x^2+5 ?
The solution to factor 3x^4-4x^3-12x^2+5 is (x+1)^2(3x^2-10x+5)