Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=18
Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=18
zeros are -3,-1, and 4.
So factors are (x+3), (x+1) and (x-4). [when x=k is a zero then (x-k) is a factor]
Let the polynomial is f(x)=a(x+3)(x+1)(x-4)
Given f...
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f(x) a(x+3)(x+1)(x-4) f(-2) a(-2+3)-2+1)(-2-4) 18 a(1) 6 18-6a 18 6 a=3
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