Challenge Problems for 4.6 On Q3 and Q4, evaluate the expression. 1.

Challenge Problems for 4.6
On Q1 and Q2, write a quadratic equation that has the given solutions.
1.
2.
On Q3 and Q4, evaluate the expression.
3.
4.
On Q5-Q6, use Pascal’s Triangle to evaluate each expression.
5.
6.
On Q7-Q10, determine whether the statement is true or false. Justify your reasoning.
7. There is no complex number that is equal to its
8. The sum of two imaginary numbers is always an
complex conjugate.
imaginary number.
9. The product of a complex number a + bi and its
conjugate is always a real number.
10. The absolute values of a complex number and its
complex conjugate are always equal.