1. The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x-6, what is the second factor?
2. How many real zeros does the function have? Function: x^2-4=f(x)
3. If x-2 divides p(x) evenly, which statement must be true?
C. 2 is the slope of p(x)
D. -2 is the y-intercept of p(x)
I've been stuck on these questions. I've tried but I can't figure out the answer. Please help and show how to get the answer because I have similar questions. Thanks! Sorry.
First one.....if a/b is a root, then (bx - a) is a factor
To see this let bx - a = 0
Then bx = a
And x = a/b is the root
So....if 3/4 is a root, then, (4x - 3) is a factor
x^2 - 4 = 0 factor as
(x + 2) ( x - 2) = 0
So....this will have two roots (zeros)
If x - a divides P(x).....then a is a zero (root) ...so..... P(a) = 0
If x - 2 divides P(x)......then 2 is a zero ....so....P(2) = 0