Question

(25x⁵ – 15x⁴) ÷ 5x³, Divide the given polynomial by the given monomia

Answer 1

$\frac{25{x}^{5} - 15 {x}^{4} }{5 {x}^{3} } \\ \frac{5 {x}^{3}(5 {x}^{2} - 3 x) }{5 {x}^{3}} \\ = > 5 {x}^{2} - 3x$

Answer 2

Solution :

Given ( 25x^5 - 15x⁴ ) ÷ 5x³

= [ 5x⁴ ( 5x - 3 ) ]/(5x³)

After cancellation of 5x³ , we get

= x(5x-3)

Or

( 25x^5 - 15x⁴ )/(5x³)

= ( 25x^5)/(5x³) - (15x⁴)/(5x³)

= 5x² - 3x

••••