I need help with this math problem!! Please help
Answer:
Simplified: [tex]x^{2} + 23[/tex]
Domain: (-∞ < x < ∞)
Range: [23, ∞)
Y Intercepts: (0, 23)
Vertex: (0, 23)
Reverse factor a quadratic polynomial in order to find its intercepts.
When reverse factoring a quadratic polynomial, you want to find factors of c, which add up to be b. In this instance, you are looking for factors of 14, that add up to be 9.
Factors of 14:
14, 1
7, 2
7,2 can add up to be 9 - thus, we have found our factor.
(x+7)(x+2)
From here, to find the intercepts, you simple solve for x:
x = -7
x = -2
x = -7
x = -2