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?

A. 3x-4

B. 3x+4

C. 4x-3

D. 4x+3

2. How many real zeros does the function have? Function: x^2-4=f(x)

A. 3

B. 0

C. 1

D. 2

3. If x-2 divides p(x) evenly, which statement must be true?

A. p(2)=0

B. p(-2)=0

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.

Guest Mar 11, 2019

#1**0 **

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

Second one

x^2 - 4 = 0 factor as

(x + 2) ( x - 2) = 0

So....this will have two roots (zeros)

Last one

If x - a divides P(x).....then a is a zero (root) ...so..... P(a) = 0

So

If x - 2 divides P(x)......then 2 is a zero ....so....P(2) = 0

CPhill Mar 11, 2019