Question

factor completely
48y^2+82y-70
metal+fan

Answer 1

show you work please

Answer 2

first make it a bit easier by dividing through by 2
48y^2+82y-70
= 2(24y^2 + 41y - 35)

Answer 3

now you need to factor the part in the parentheses

find the prime factors of 24 and -35
then you need to combine them in such a way as to get the middle term in the expression (+41)

Answer 4

24 = 2 * 2* 2 * 3
-35 = +/- 5 * +/- 7

Answer 5

8*7 - 3*5 will give us + 41

we need 3x and 8x to be the first part in brackets to give the 24x^2 so

the factors will look like

(8x + a )(3x + b)

except that to get the -35 one of the signs will be -

Answer 6

can you work out what a and b will be?

Answer 7

these are a bit tricky and need some practice to become proficient

Answer 8

im done with this question but thanks anyway

Answer 9

yw