Question

Divide (2x^2+16x+21) ÷ (x+6)
Your answer should give the quotient and the remainder.

Answer 1

Look up division of polynomials :) quick youtube videos are easy!

Answer 2

use... synthetic division

Answer 3

i got the asnwer but not sure

Answer 4

remainder is -3?

Answer 5

yep!

Answer 6

whats the quotient

Answer 7

The quotient is the solution more or less. Like 10+1=11. 11 is your sum

Answer 8

2x+4?

Answer 9

\(\large {\begin{array}{llccclllll}
-6&|&2&+16&+21\\
&|&&-12&-24\\
\hline\\
&&2&4&3
\end{array}\implies 2x^2+16x+21 \div (x+6)\\ \quad \\
\color{blue}{2x+4+\frac{3}{x+6}}}\)

Answer 10

for the quotient, you "drop" the original polynomial by "1 degree"

Answer 11

so iwas right?

Answer 12

yeap

Answer 13

hmmm actually... one sec

Answer 14

+21 - 24 = -3 so....

Answer 15

ok

Answer 16

yea i got that remainder

Answer 17

\(\large {\begin{array}{llccclllll}
-6&|&2&+16&+21\\
&|&&-12&-24\\
\hline\\
&&2&4&-3
\end{array}\implies 2x^2+16x+21 \div (x+6)\\ \quad \\
\color{blue}{2x+4-\frac{3}{x+6}}}\)

Answer 18

ok

Answer 19

quotient is 2x+4?

Answer 20

yes

Answer 21

thanks

Answer 22

the version I posted there is just the expression itself in full.... but yes, in terms of the division, if you keep the remainder, the quotient is just 2x +4

Answer 23

TY

Answer 24

yw