What are the roots of the polynomial equation x^4+x^3=4x^2+4x? Use a graphing calculator and a system of equations.
2 answers:
Desmos graphing calculator will draw this graph for you.
draw 2 curves
y = x^4 + x^3
and
y = 4x^2 + 4x
The roots are the points where the 2 curves intersect.
You can see by simple substitution that one root is zero.
x^4 + x^3 - 4x^2 - 4x = 0
f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root
f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root
f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root
The answer is A
the answer is a i hope that helpful
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