Question

How do I factor- EX 4x^2+7x - 15 = 0

Answer 1

Use the quadratic equation to solve this (bellow will be the image of the quadratic function)  

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

That means that in this equation...

a = 4

b = 7

c = -15

^^^Plug these numbers into the quadratic equation and solve...

$\frac{-7+/-\sqrt{(7)^{2}-4(4)(-15)}}{2(4)}$

$\frac{-7 +/-\sqrt{49+240}}{8}$

$\frac{-7+/-\sqrt{289}}{8}$

$\frac{-7+/-17}{8}$

Keep in mind that +/- is ±

$\frac{-7+17}{8}$ ---> $\frac{5}{4}$

$\frac{-7-17}{8}$ ---> -3

Take the opposite of those numbers^^^ like so

(x + 3)(4x - 5)

Hope this helped!

~Just a girl in love with Shawn Mendes