Question

How do you divide `(25x^2-30x+12) div (5x-3)`?

Answer 1

`=5x-3`

`=21`

Explanation:

Give -

`(25x^2-30x+12) -:(5x-3)`

#

`=5x-3`

`=21`

Answer 2

`5x-3+3/(5x-3)`

Explanation:

`"one way is to use the divisor as a factor in the numerator"`

`"consider the numerator"`

`color(red)(5x)(5x-3)color(magenta)(+15x)-30x+12`

`=color(red)(5x)(5x-3)color(red)(-3)(5x-3)color(magenta)(-9)+12`

`=color(red)(5x)(5x-3)color(red)(-3)(5x-3)+3`

`"quotient "=color(red)(5x-3)," remainder "=3`

`rArr(25x^2-30x+12)/(5x-3)=5x-3+3/(5x-3)`