91Ó°ÊÓ

Explain to a fellow student when you would use the LCM method to add two rational expressions. Give two examples. of adding two rational expressions: one in which you use the \(\mathrm{LCM}\) and the other in which you do not.

Use the Distributive Property to remove the parentheses. $$ (x-4)(x-2) $$

Find \(k\) if \((x-k)(x+3 k)=x^{2}+4 x-12\).

Explain to a friend how the Distributive Property is used to justify the fact that \(2 x+3 x=5 x\).

Find the quotient and the remainder. Check your work by verifying that Quotient \(\cdot\) Divisor \(+\) Remainder \(=\) Dividend $$ 1-x^{2}+x^{4} \text { divided by } x^{2}-x+1 $$

Find the value of the expression \(2 x^{3}-3 x^{2}+5 x-4\) if \(x=2\). What is the value if \(x=1 ?\)

Explain why the degree of the product of two nonzero polynomials equals the sum of their degrees.

Explain why the degree of the sum of two polynomials of different degrees equals the larger of their degrees.

Give a careful statement about the degree of the sum of two polynomials of the same degree.

What is the value of \((0.1)^{3} \cdot(20)^{3} ?\)