Observe that the top edge of the pattern represents the length of a rectangle. The side edge of the pattern represents the width of a rectangle.

Using the sides without the $x^2$-tiles, how can the length and width of the rectangle be represented?

Look for a difference of two squares. Are there only two terms of the polynomial, and are they being subtracted? Are those two terms perfect squares?

For example, factor $x^2-4$

Use the factorization of the difference of two squares, $a^2-b^2=(a+b)(a-b)$, to factor the binomial.

Write a binomial that can be factored either as the difference of two squares or as the difference of two cubes. Show the complete factorization of your binomial.

Factor.

$$x^2-4$$

Look for the greatest common factor. Does each term have a common factor?

For example, factor $x^3 y+2 x y^2$.

Now factor out the monomial from the polynomial.

Look for the greatest common factor. Does each term have a common factor?

For example, factor $x^3 y+2 x y^2$.

What does each term of the polynomial have in common?

Look for the greatest common factor. Does each term have a common factor?

For example, factor $x^3 y+2 x y^2$.

Factor out the monomial from each term.

Look for the greatest common factor. Does each term have a common factor?

For example, factor $x^3 y+2 x y^2$.

Write each term of the polynomial as a product of its factors.

When adding $\frac{5 n}{n^4 p^3}+\frac{6 p}{n^2 p^5}$, why multiply the first expression by $\frac{p^2}{p^2}$ and the second by $\frac{n^2}{n^2}$?

Explain how to solve the inequality 2x + 5 > -3(x - 15). Identify the solution.

If it were possible to play ball on Saturn, the function $y=-5.5x^2+44x$ would approximate the height of a ball kicked straight up at a velocity of 44 meters per second, where x is time in seconds. Find the maximum height of the ball and the time it takes the ball to reach that height.

Write an expression to show the price of 2 discounted books when the first one is 20 + n and each one after that is (20 + n)(n - 5).

Which points are not endpoints of a line segment with midpoint (7,-3)?

A (1,2) and (13,-8)

B (5,0) and (9,-5)

C (2,-9) and (12,3)

D (4,-2) and (10,-4)

Lucy paints murals. She charges $10.00 per square foot. If she paints a mural that is$c^2+7 c+10$ft by$ $$ \frac{1}{c+5}$ ft, how much does Lucy charge for painting the mural? $$