What is factor 42x^3+9x^2+49x^4 ?

The solution to factor 42x^3+9x^2+49x^4 is x^2(7x+3)^2

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factor 42x^3+9x^2+49x^4

factor

42 x^{3} + 9 x^{2} + 49 x^{4}

x^{2} (7 x + 3)^{2}

Solution steps

42 x^{3} + 9 x^{2} + 49 x^{4}

Write in the standard form

= 49 x^{4} + 42 x^{3} + 9 x^{2}

Factor out common term

x^{2} : x^{2} (49 x^{2} + 42 x + 9)

= x^{2} (49 x^{2} + 42 x + 9)

Factor

49 x^{2} + 42 x + 9 : (7 x + 3) (7 x + 3)

= x^{2} (7 x + 3) (7 x + 3)

Apply exponent rule:

aa = a^{2}

(7 x + 3) (7 x + 3) = (7 x + 3)^{2}

= x^{2} (7 x + 3)^{2}

4 x^{3} \times x^{2}

x^{4} - 6 x^{3}

\frac{3}{4} + \frac{1}{2} + \frac{2}{5}

\frac{25}{7} - 3

2 a x^{2} + 6 a x - 20 a

What is factor 42x^3+9x^2+49x^4 ?
The solution to factor 42x^3+9x^2+49x^4 is x^2(7x+3)^2