Question

7x^2-16x-15find the factored form

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

7x^2-16x-15

Step 02:

Quadratic Equation

`x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

ax² + bx + c = 0

= 0

a = 7

b = -16

c = -15

`x\text{ = }\frac{-(-16)\pm\sqrt[]{(-16)^2-4\cdot(7)(-15)_{}}}{2(7)}`
`\begin{gathered} x1=\text{ }(16+26)/(14)=3 \\ x2=(16-26)/(14)=(-5)/(7) \end{gathered}`

The answer is:

7x² - 16x - 15 = (x - 3)(x + 5/7)