In advance. find the values of a and b such that 1 and 4 are zeros of

In this problem, we need to plug in the given x values for and find a and b.

When we plug in 1, we get:

Simplify:




We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:





Now we have our second one. We can combine them:


I use elimination method which is easier here.

Multiply the top equation by -1:

Add them up:


Simplify:


Now we have a, we can plug in one of those equations to find b:




So, the answers are and .

+1,000)=g7e=mc2-g=7 because if you know algebra you should know g=7 to get your answer