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URGENT Construct a polynomial function with the following properties: fifth degree, 1
is a zero of multiplicity 2, −4 is the only other zero, leading coefficient is 4.


Sagot :

Answer:

y = 4(x - 1)²(x + 4)³

Step-by-step explanation:

There are two different types of zeros: 1 and -4. Since we know 1 is a zero of multiplicity 2, and the function is a 5th degree polynomial, -4 is of multiplicity 3. Leading coefficient is 4, so now we can construct.

y = 4(x - 1)²(x + 4)³

Hope this helps!