Check if 1and 3are the zeros of the polynomial x³-6x²+11x6
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Answer:
Step-by-step explanation:
IN A SIMPLE WAY WE WILL JUST SUBSTITUTE THE VALUE OF X WITH 3 ONE TIME AND 1 ONE TIME . IF THE ANSWERS COMES ZERO THEN ITS AN ZERO OF THE POLYNOMIAL OTHERWISE ITS NOT A ZERO OF THE POLYNOMIAL ;
f(x)=x^3 - 6x^2+11x+6
f(x)=3^3 - 6(3^2)+11(3)+6
f(3)=27 - 6(9) + 33+6
f(3)= 27 - 54 +39
f(3)= -27 + 39
f(3) = 12 [AS, THE RESULT IS NOT ZERO ITS NOT A ZERO OF THE POLYNOMIAL ]
f(x)= x^3 - 6x^2+11x+6
f(-1) = 1^3 - 6(1^2)+11(1)+6
f(-1) = 1 - 6(1) +11 +6
f(-1) = 1 - 6 + 17
f(-1) = -5+17
f(-1) = 12 [AS, THE RESULT IS NOT ZERO ITS NOT A ZERO OF THE POLYNOMIAL ]
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