All in the picture write at least 20 characters to get a great answer.
1 answer:
You might be interested in
I didn't get all the part with the tiles, but here's the general answer:
given a polynomial
we have that is a factor of
if and only if k is a root of
, i.e. if
So, given the polynomial
We can check if is a factor by evaluating
:
So, is not a factor.
Similarly, we can evaluate to check if
are factors:
So, only is a factor of
Answer:
The lines representing these equations intercept at the point (-4,2) on the plane.
Step-by-step explanation:
When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.
Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:
Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:
Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.