Question

If x*x + 2x - 35 = 0,
then x = ? please help

Answer 1

factor the polynomial

(x )(x )

can you do this step??

Answer 2

NOPE

Answer 3

ok
(x )(x )

we need to find factors of 35, we will deal with the signs later

so factors are
1,5,7,35
the we look at what factors(the difference will = 2( the middle term)

7 and 5 look like a good choice because the difference between those numbers is 2

(x 7 )(x 5 )

now we have to find the signs
since we have -35
we know that a pos and neg = a neg
and we have +2 so the bigger +7-5=+2

(x +7 )(x-5 )=0

now we set both of these binomial to zero


x+7=0
x-5=0

x+7-7=0-7 we subtract 7 both sides

one x=-7

x-5=0 here you can do the same by adding 5 to both sides to get the other answer

Answer 4

when you get the 2 answers plug it back in the original and see if they are correct