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One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function
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One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function
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Mathematics
4 years
2021-07-25T10:51:54+00:00
2021-07-25T10:51:54+00:00 1 Answers
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Answer:
the other zeros of this function are {-2, 3}
Step-by-step explanation:
Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:
1 / 1 -2 -5 6
+1 -1 -6
————————–
1 -1 -6 0
Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 – 1x – 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x – 3) and (x + 2), so the other zeros of this function are {-2, 3}.