## Related questions with answers

Question

Write an equation for a fourth-degree polynomial that has a double root at x = -3, a complex root of x = 1 - 2i, and passes through the point (2, -25).

Solution

VerifiedStep 1

1 of 4Given roots of the fourth-degree polynomial is $x=-3,-3,1-2i$. As we know complex roots will be in conjugate pairs for the polynomial so $x=1+2i$ is another root of the equation.

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