Question

Please help with Algebra 2 questions.

1. Find a quadratic equation with roots -1+4i and -1-4i.
2. Use the binomial Theorem to expand the binomial. (d-4b)^3

Answer 1

Is question 1 also 2 questions?

Answer 2

No, I have to find a quadratic equation with both of those roots in it.

Answer 3

first question:
\[\lambda ^{2}+2\lambda+17=0\]
you have to perform the subsequent multiplication:
\[(\lambda-(-1+4i))*(\lambda-(-1-4i))=0\]

Answer 4

@KatieBear Question 2: using the Tartaglia's triangle, we have the coefficient:
1, 3, 3, 1
so the expantion is:
\[1*d ^{3}+3d ^{2}*(-4b)+3d*(-4b)^{2}+(-4b)^{3}=\]
please continue yourself