Given x^2 -4x+4 is a factor of the polynomial 2x^4 - 11x^3 +68x-80, completely factor the polynomial using algebraic methods.
1 answer:
You might be interested in
You can make some algebraic equations and solve it.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
I think this is the answer :)
