Answer:
f(x)=x(x-3) x (x+4) x (x-9
Step-by-step explanation:
your function in factored form
The polynomial whose real zeros and degree are given is f(x) = x³ - 3x² - 4x
The given parameters are:
Rewrite the zeros as:
x = -1, x = 0 and x = 4
Set the zeros to 0
x + 1 = 0, x = 0 and x - 4 = 0
Multiply the zeros
(x + 1) * x * (x - 4) = 0 * 0 * 0
Multiply the factors
(x² + x) * (x - 4) = 0
Multiply the factors
x³ - 4x² + x² - 4x = 0
Evaluate the like terms
x³ - 3x² - 4x = 0
Express as a polynomial function
f(x) = x³ - 3x² - 4x
Hence, the polynomial whose real zeros and degree are given is f(x) = x³ - 3x² - 4x
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