Mathematics: Factor completely.15u^4-20u^3-35u^2

Factor completely.15u^4-20u^3-35u^2 - id154203352911314, EmiSiddiqi4037

Adolfosbaby

13.03.2022

First of all, we can factor a factor of from all terms:

5 (3u^4-4u^3-7u^2)

Then, we can factor u^2 from all terms:

5u^2 (3u^2-4u-7)

To factor the quadratic expression in parenthesis, we must find its roots, which are and $\frac{7}{3}$ . This implies

$3u^2-4u-7 = 3(u+1)(u-\frac{7}{3})$

So, the complete factorization is

$5u^2 \cdot 3(u+1)(u-\frac{7}{3}) = 15u^2(u+1)(u-\frac{7}{3})$

0,0(0 оценок)