Question

prove that (5x + 4) is a factor of 5x^3 + 4x^2 - 5x - 4, hence factorise the given polynomial completely. pls send pic.

Answer 1

Step-by-step explanation:

5x+4=x=4/5

p(x)=

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

$5( \frac{4}{5} )^{3} + 4( \frac{4}{5})^{2} - 5( \frac{4}{5} ) - 4$

$5 \times \frac{64}{125} + 4 \times \frac{16}{25} - 5 \times \frac{4}{5} - 4$

64/25+64/25-4-4

128/25-8

128-200/25

-72/25