Question

Determine whether the indicated numbers are zeroes of the given polynomial? F(x) = x^(3) - 6x^(2) + 11x - 6; x=1,3​

Answer 1

F(x) =x^3-6x^2+11x-6

F(1)=(1)^3-6(1)^2+11(1)-6

. . . =1-6+11-6

. . . . =0 ans

Thus, 1 is a zeros

F(x) =x^3-6x^2+11x-6

F(3)=(3)^3-6(3)^2+11(3)-6

. . . =27-54+33-6

. . . =0

Thus, 3 is a zeros

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Answer 2

Answer:

Yes 1 and 3 are zeroes of the given polynomial.

Step-by-step explanation:

For any value of x if f(x) = 0 then x is zero of given polynomial.

Let's put x = 1 in polynomial :

F(1) = 1^3 - 6*1^2 + 11*1 - 6 = 1 - 6 + 11 - 6 = 0

So, x = 1 is zero of polynomial.

let's put x = 3 in polynomial :

F(3) = 3^3 - 6*3^2 + 11*3 - 6 = 27 - 54 + 33 - 6 = 0

So, x = 3 is also a zero of the polynomial.