Question

Question :

(5x2 - 16x - 21) divided by (x + 1)

Solve it please

Answer 1

$\large\bf{\pink{\sf{Question}} }$

$\mathtt{(5x² - 16x - 21)÷(x + 1)}$

$\large\bf{\orange{Step \: by \: step \: \: explaination:-} }$

$\implies{\tt{\dfrac{(5x² - 16x - 21)}{(x + 1)}}}$

$\implies{\tt{\dfrac{(5x²+5x−21x−21)}{(x + 1)}} }$

${\implies{\tt{\dfrac{5x(x+1)−21(x+1)}{(x + 1)}\: \: \: \: taking \ 5x \: and\: -21\: common}}}$

$\implies{\tt{ \dfrac{(5x−21)(x+1)}{(x + 1)}}}$

$\implies{\tt{\dfrac{(5x−21) \cancel{(x+1)}}{ \cancel{(x + 1)}}}}$

$\implies{\tt{ (5x−21)}}⟹(5x−21)</p><p>$

$\sf{ \red{\therefore \ (5x−21)}\ wil\ get\ When\ we\ divide\ (5x² - 16x - 21) divided\ by\ (x + 1)}∴ (5x−21) wil \: get \: When \: we \: divide (5x²−16x−21)divided \: by (x+1)$

Answer 2

Answer:

$\huge{\tt{\red{}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}$

$\huge\ \frac{ {(5x}^{2} - 16x - 21) }{(x + 1)}$

$\huge\ \frac{ {(5x}^{2} + 5x - 21x - 21)}{(x + 1)}$

$\huge\ \frac{5x(x + 1) - 21(x + 1)}{(x + 1)}$

$\huge\ \frac{(5x - 21)(x + 1)}{(x + 1)}$

$\huge\ 5x - 21$