Question

Simplify 5x^2-19x-4/x-4
will give medal

Answer 1

first factor the numerator 5x^2 - 19x -4

Answer 2

it ill look like
(5x +/- a)(x +/- b)

can you figure out the a and b and correct signs

Answer 3

hopefully one factor will be (x - 4) so we can simplify

Answer 4

lets suppose it is x - 4 then we have

(5x +/- a)( x - 4)

now +/- a will be equal to +1 to get the -4 in the original expression

but will that give us the -19x?

Answer 5

if so then we got it

Answer 6

5*-4=-20
20*-1=-20
20-1=19
\[\frac{ 5x ^{2} -19x-4}{ x-4 }=\frac{ 5x ^{2} -\left( 20-1 \right)x-4}{ x-4 }=\frac{ 5x ^{2}-20x+1x-4 }{ x-4 }\]
calculate the factors of the numerator and cancel the common factor.