I have to make a polynomial function that uses these: Third-degree, with zeros of -3, -1, and 2, and passes through the point (4, 7)
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Hello ! Originally Posted by mankvill I have to make a polynomial function that uses these: Third-degree, with zeros of -3, -1, and 2, and passes through the point (4, 7) If -3, -1 and 2 are zeros of the polynomial P(x), then x-(-3)=x+3, x+1 and x-2 divide P(x). But (x+3)(x+1)(x-2) is already a polynomial of degree 3. So P(x) is just proportional to (x+3)(x+1)(x-2). But we know that . Substituting, you can get a
...I'm confused. What is the answer, then?
Originally Posted by mankvill ...I'm confused. What is the answer, then? Because (4,7) belongs to the polynomial function, ----> Develop to get the complete polynomial
Is this correct? edit: i don't know how to make a nominator and denominator, obviously
Originally Posted by mankvill Is this correct? Yes And when checking, we get P(-3)=P(-1)=P(2)=0 and P(4)=7, which is exactly what we wanted edit: i don't know how to make a nominator and denominator, obviously \frac{numerator}{denominator}
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