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

Question

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

stuck-help · Answer

show you work please

welshfella · Answer

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

welshfella · Answer

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)

welshfella · Answer

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

welshfella · Answer

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 -

welshfella · Answer

can you work out what a and b will be?

welshfella · Answer

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

stuck-help · Answer

im done with this question but thanks anyway

welshfella · Answer

yw