Question
Find a polynomial function of degree 4 with the zeros -3 (multiplicity 2) and 3 (multiplicity 2), whose graph passes
Find a polynomial function of degree 4 with the zeros -3 (multiplicity 2) and 3 (multiplicity 2), whose graph passes through the point (-4, 245)
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Koala Tutor
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A polynomial function of degree 4 with the zeros -3 (multiplicity 2) and 3 (multiplicity 2) can be written in the form:
f(x) = a(x + 3)^2(x - 3)^2
We can find the value of a by substituting the point (-4, 245) into the equation:
245 = a(-4 + 3)^2(-4 - 3)^2
245 = a(1)^2(-7)^2
245 = a(49)
a = 245/49
a = 5
So, the polynomial function is:
f(x) = 5(x + 3)^2(x - 3)^2
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