91Ó°ÊÓ

Fill in the blanks. The imaginary unit \(i\) is defined as \(i=\)_______, where \(i^{2}=\)_______.

The graph of a quadratic function is symmetric about its__________

For the rational function \(f(x)=N(x) / D(x),\) if the degree of \(N(x)\) is exactly one more than the degree of \(D(x),\) then the graph of \(f\) has a ___________ (or oblique) ___________.

If \(a+b i\) is a complex zero of a polynomial with real coefficients, then so is its _____, \(a-b i\).

Fill in the blanks. An alternative method to long division of polynomials is called ______ ______, in which the divisor must be of the form \(x-k\).

When \(x=a\) is a zero of a polynomial function \(f,\) the following three statements are true. (a) \(x=a\) is a _____ of the polynomial equation \(f(x)=0\) (b) _____ is a factor of the polynomial \(f(x)\) (c) \((a, 0)\) is an _____ of the graph of \(f\)

Solving for a variable In Exercises 5 and \(6,(a)\) solve for \(P\) and \((b)\) solve fort. $$A=P e^{r t}$$

When the graph of a quadratic function opens upward, its leading coefficient is_________and the vertex

Checking Solutions In Exercises \(5-8,\) determine whether each value of \(x\) is a solution of the inequality. Inequality $$x^{2}-3<0$$ Values $$(a) x=3 \quad (b) x=0$$ $$(c) x=\frac{1}{2} \quad \text { (d) } x=-5$$

Fill in the blanks. When \(a\) is a positive real number, the_______ _______root of \(-a\) is defined as \(\sqrt{-a}=\sqrt{a} i\).