Find the polynomial of minimum degree, with real coefficients, zeros at x=4+4i and x=2, and y-intercept at 64

Step-by-step explanation:

We want to find the minimum-degree polynomial with real coefficients and zeros at:

As well as a y-intercept of 64.

By the Complex Root Theorem, if a + bi is a root, then a - bi is also a root.

So, a third root will be 4 - 4i.

The factored form of a polynomial is given by:

Where a is the leading coefficient and p and q are the zeros. More factors can be added if necessary.

Substitute:

Since we want the minimum degree, we won't need to add any exponents.

Expand the second and third factors:

Hence:

Lastly, we need to determine a. Since the y-intercept is y = 64, this means that when x = 0, y = 64. Thus:

Solve for a:

Our factored polynomial is:

Finally, expand:

stop using this to cheat on home work

step-by-step explanation:

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the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: