91Ó°ÊÓ

In the exponential expression \(x^{n},\) the ___________ is \(x\) and \(n\) is called the _________.

Fill in the blanks. \(x^{3}+y^{3}\) is called a sum of two difference of two ______ and \(x^{3}-y^{3}\) is called a difference of two ________.

Fill in the blanks. since \(x^{2}+16 x+64\) is the square of \(x+8,\) it is called a _______________-square trinomial. (Hint: This is in a Language of Algebra box.)

Complete each factorization. a. \(F^{2}-L^{2}=(F+L)( ) b. \)F^{3}+L^{3}=(F+L)( ) c. $F^{3}-L^{3}=(F-L)( )

Fill in tha. factorse blanks. a. To multiply a monomial by a monomial, we multiply the numerical_________ and then musltiply the variable factors. b. To multiply a polynomial by a monomial, we multiply each___________of the polynomial by the monomial. c. To multiply a polynomial by a polynomial, we multiply each______ of one polynomial by each term of the other polynomial.

Determine whether each equation is a quadratic equation. a. \(w^{2}+7 w+12=0\) b. \(6 t+11=0\) c. \(x(x+3)=-2\) d. \(k^{3}-4 k^{2}+k-15=0\)

Complete the table and the sentence below it. $$ \begin{array}{|r|l|} \hline \text { Factors of } 8 & \text { Sum of the factors of } 8 \\ \hline 1(8)=8 & \\ \hline 2(4)=8 & \\ \hline-1(-8)=8 & \\ \hline-2(-4)=8 & \\ \hline \end{array} $$ The numbers \(-1\) and \(-8\) are two integers whose _____ is 8 and whose _____ is \(-9\).

a. If the product of two numbers is 0 , what must be true about at least one of the numbers? b. Fill in the blanks: By the ______ -factor property, if \(a b=0\) then \(a=\) ____ or \(b=\) ____.

Fill in the blanks to complete each factorization. a. \(8 x^{3}+6 x^{2}+2 x=2 x\left(4 x^{2}+3 x+ \quad\right)\) b. \(-9 x+5=-(9 x \quad-5)\)

To raise an exponential expression to a power, such as \(\left(x^{9}\right)^{4}\) keep the base \(x\) and _________ the exponents.