Does (2x^3+ 15x^2 +27x + 5)/2x+5= (x^2+5x+1). Justify your answer.

Question

asked Feb 21, 2020 165k views

1 Answer

Chaney · Answer 1 · 2020-02-26T00:30:37+0000

Answer and explanation

We have given expression
(2x^3+15x^2+27x+5)/(2x+5)=x^2+5x+1

We have to prove this

(2x^3+15x^2+27x+5)/(2x+5)=x^2+5x+1 can be written as
${2x^3+15x^2+27x+5}={2x+5}* (x^2+5x+1)$

Now we have to prove L.H.S = R.H.S

Lets take R.H.S

So
${2x+5}* (x^2+5x+1)=2x^3+10x^2+2x+5x^2+25x+5=2x^3+15x^2+27x+5$ = L.H.S

Hence proved