Question

Factor the quadratic expression WITH FORMULA 5x^2 - 11x + 2

Answer 1

Given the Quadratic Expression:

`5x{}^2-11x+2`

You can identify that it has this form:

`ax^2+bx+c`

Then, you can use the Quadratic Formula to find its x-intercepts:

`x=(-b\pm√(b^2-4ac))/(2a)`

In this case:

`\begin{gathered} a=5 \\ b=-11 \\ c=2 \end{gathered}`

Therefore, by substituting values into the formula and evaluating, you get:

`x=(-(-11)\pm√((-11)^2-4(5)(2)))/(2(5))`
`x_1=(11+√(81))/(10)=2`
`x_2=(11-√(81))/(10)=(1)/(5)`

Knowing the x-intercepts, you can write the expression in Factored Form:

`=(x-2)(5x-1)`

Hence, the answer is:

`=(x-2)(5x-1)`