find the zeros of the polynomial :r(x) =(x-2)^2+(x+2)^2
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Step-by-step explanation:
Let the polynomial g(x) be (x-2)² + (x+2)²
now equate g(x) to 0,
which implies, (x-2)² + (x+2)² = 0
x² -2² + x² +2² = 0
(x²+x²) + ( 2²-2²) = 0
2x² + 0 = 0
2x² = 0
x² = 0/2
x² = 0
x = √0
x = 0
therefore, 0 is the zero of the polynomial g(x)= (x-2)² + (x+2)²
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