Math  /  Measurement

Question Find the degree 4 polynomial P(x)P(x) with roots at x=4x=4 (multiplicity 2), x=0x=0 (multiplicity 1), and x=2x=-2 (multiplicity 1), passing through (1,135)(1,-135).

Studdy Solution
Now that we have the value of aa, we can write the final formula for P(x)P(x):
P(x)=13543(x46x3+48x)P(x) = \frac{-135}{43}(x^4 - 6x^3 + 48x)
This is the formula for the polynomial P(x)P(x) that satisfies all the given conditions.

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