A polynomial has zeros at -4, 2 and 1. Which of the following could be that polynomial?
Question
A polynomial has zeros at -4, 2 and 1. Which of the following could be that polynomial?
Solution
A polynomial with zeros at -4, 2, and 1 can be written in factored form as:
P(x) = a(x + 4)(x - 2)(x - 1)
where a is any non-zero constant. This is because a polynomial will have a zero at x = c if and only if (x - c) is a factor of the polynomial.
So, any polynomial that can be written in this form could be the polynomial in question. Without specific options to choose from, this is the most specific answer that can be given.
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