Answer: the two factors are (5x + 3) and (2x + 1)
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
[tex]x= \frac{b^2 +/- \sqrt{b^2-4ac} }{2a} [/tex]
[tex]x= \frac{-11+/- \sqrt{11^2-4(10)(3)} }{(2)(10)} [/tex]
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
