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

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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)

User Sreenath
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