How do you simplify (6t^3 + 5t^2 + 9) / (2t + 3)6t3+5t2+92t+3?
2 Answers
Explanation:
- 2t+3 on numerator and denomoniator cancel out.
ANSWER:
You have to factorise the top that
The are many ways of factorising
I would recommend polynomial division as its pretty straight forward to learn and rely on. Here is a link that will teach you all about it and you can practise with: http://www.purplemath.com/modules/polydiv2.htm
Explanation:
"one way is to use the divisor as a factor in the numerator"one way is to use the divisor as a factor in the numerator
"consider the numerator"consider the numerator
color(red)(3t^2)(2t+3)color(magenta)(-9t^2)+5t^2+93t2(2t+3)−9t2+5t2+9
=color(red)(3t^2)(2t+3)color(red)(-2t)(2t+3)color(magenta)(+6t)+9=3t2(2t+3)−2t(2t+3)+6t+9
=color(red)(3t^2)(2t+3)color(red)(-2t)(2t+3)color(red)(+3)(2t+3)cancel(color(magenta)(-9))cancel(+9)
=color(red)(3t^2)(2t+3)color(red)(-2t)(2t+3)color(red)(+3)(2t+3)+0
rArr(cancel((2t+3))(3t^2-2t+3))/cancel((2t+3))=3t^2-2t+3