Question

x^2+3x+2 by x+1 divide the polynomials

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

Divide the polynomials:

$(x²+3x+2)$ by $(x+1)$

$\huge\bold{\mathtt{To\:find⇒}}$

The quotient.

$\huge\bold{\mathtt{Solution⇒}}$

Division⇒

$x+1\:)\:{\cancel{x²}}+3x+2\:(\:x+2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:{\underline{\:{\cancel{x²}}+x\:\:\:\:\:\:\:\:\:\:\:}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{\cancel{2x+2}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:{\underline{\:\:\:\:\:\:\:\:\:\:{\cancel{2x+2}}\:\:}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:0$

So, $(x²+3x+2) ÷ (x+1) = (x+2)$

$\huge\bold{\mathtt{Hence⇒}}$

$(x²+3x+2) ÷ (x+1) = (x+2)$

$\huge\bold{\mathtt{Therefore⇒}}$

$(x²+3x+2)$ when divided by $(x+1)$ gives $(x+2).$

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$

Answer 2

Your answer is in the attachment.

Hope this helps you.