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Sebs1
12.07.2019 •
Mathematics
22 which of the following polynomials has a factor of x-1? a) p(x)=x^3 +x^2 -2x+1 b) q(x)=2x^3-x^2 +x-1 (crx)= 3x^3-x-2 d) s(x)=-3x^3+ 3x +1
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Ответ:
The correct option is C.
Step-by-step explanation:
If (x-c) is a factor of a polynomial f(x), then f(c)=0.
It is given that (x-1) is a factor of the polynomial. It means the value of the function at x=1 is 0.
In option A,
The given function is
Substitute x=1 in the given function.
Since p(1)≠0, therefore option A is incorrect.
In option B,
The given function is
Substitute x=1 in the given function.
Since q(1)≠0, therefore option B is incorrect.
In option C,
The given function is
Substitute x=1 in the given function.
Since r(1)=0, therefore option C is correct.
In option D,
The given function is
Substitute x=1 in the given function.
Since s(1)≠0, therefore option D is incorrect.
Ответ:
It was increased 2.1%.
Step-by-step explanation: