Answer:
Correct choice is D
Step-by-step explanation:
Consider the quadratic expression [tex]5x^2 + 7x + 2.[/tex]
First, find the discriminant:
[tex]D=7^2-4\cdot 5\cdot 2=49-40=9.[/tex]
Now find the roots of the quadratic expression [tex]5x^2 + 7x + 2:[/tex]
[tex]x_{1,2}=\dfrac{-7\pm \sqrt{9}}{2\cdot 5}=\dfrac{-7\pm 3}{10}=-1,\ -0.4.[/tex]
Then
[tex]5x^2 + 7x + 2=5(x-(-1))(x-(-0.4))=5(x+1)(x+0.4)=(x+1)(5x+2).[/tex]
