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reeseebaby89
11.02.2020 •
Mathematics
Write a polynomial function in standard form with zeros at −3, −1, and 1.
f(x) = (x + 3)(x + 1)(x − 1)
f(x) = x^3 + 3x^2 − x − 3
f(x) = x^3 − 3x^2 − x + 3
f(x) = (x − 3)(x − 1)(x + 1)
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Ответ:
Step-by-step explanation:
The given polynomial has zeros at:
x=−3, x=−1, and x=1.
This means that:
x+3, x+1, and x-1 are all factors of this polynomial.
The factored form of this polynomial is :
We expand the last two factors using difference of two squares.
This is the standard form because it is now in decreasing powers of x.
Ответ: