91Ó°ÊÓ

Graph: \(y=\frac{1}{3} x+2 .\) (Section 3.4, Example 3)

Make Sense? In Exercises \(108-111\), determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I can distribute the exponent 2 on each factor of \((5 x)^{2}\) but I cannot do the same thing on each term of \((x+5)^{2}\)

Explain how to multiply polynomials when neither is a monomial. Give an example.

What is a trinomial? Give an example with your explanation.

Make Sense? In Exercises \(108-111\), determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Instead of using the formula for the square of a binomial sum, I prefer to write the binomial sum twice and then apply the FOIL method.

Perform the indicated computations. Write the answers in scientific notation. $$\left(4 \times 10^{3}\right)\left(5 \times 10^{4}\right)$$

Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$1 9 \longdiv { 4 9 4 }$$

Special-product formulas for \((A+B)(A-B),(A+B)^{2}\) and \((A-B)^{2}\) have patterns that make their multiplications quicker than using the FOIL method.

Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$2 4 \longdiv { 2 9 5 8 }$$

What is the degree of a polynomial? Provide an example with your explanation.