Question

Which is the fully factored form of 2x^2 + 9x + 10

Answer 1

we have

2x^2+9x+10

Find the zeros of the quadratic function

Using the formula

we have

a=2

b=9

c=10

substitute

$x=\frac{-9\pm\sqrt[\square]{9^2-4(2)(10)}}{2(2)}$$\begin{gathered} x=\frac{-9\pm\sqrt[\square]{1}}{4} \\ \\ x=\frac{-9\pm1}{4} \end{gathered}$

the values of x are

x=-2 and x=-5/2

therefore

$2x^2+9x+10=2(x+2)(x+\frac{5}{2})=(x+2)(2x+5)$

the answer is

(x+2)(2x+5)