### Factoring Equations

-5w - 2w + xz + 5x

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-5w - 2w + xz + 5x

18u^7 x^5 and 4u^2 w^5 x^2 keywords: GCF

6x^4 - 15x^3 - 75x^2

3^3 -3x^4 z^3

The following trinomial is in the form ax^2 + bx + c. Find two integers that have a product of ac and a sum of b. There is no need to factor the trinomial 15t^2 - 17t -4

Theory of Numbers (VI) Principle of Mathematical Induction Prove that 1/(1.2) + 1/(2.3) + 1/(3.4) + ... + 1/{n.(n + 1)} =

Theory of Numbers (V) Principle of Mathematical Induction Prove that 1 + 3 + 5 + ...+(2n - 1) = n^2

There are 15 different vehicle models available at the dealership. Oddly, each family living on Maple Street bought one of these vehicles. There are just enough families on Maple Street so you can be absolutely sure that 6 families all have the same model. How many families are there on Maple Street?

Factor the following polynomial completely, given that the binomial following it is a factor of the polynomial. x^3 + 2x^2 - 5x - 6, x + 3

Factor each difference or sum of cubes. u^3 - 125y^3

Factor the following polynomial completely. -36a^2b + 21ab^2 - 3b^3

Use grouping to factor each polynomial completely. x3 + ax + 3a + 3 x2

X>-2y and x-3y<6

-3x>0 and 3x-4<11

Graphing a compound inequality with or. Graph each compound inequality. 3 -x < y + 2 or x > y + 5

3-x<y+2 or x>y+5

│x-110│>15

X>-2 and x ≤ 4 keywords: solutions, compound, inequality

X + 8y > 8 and x - 2y < 10

Show me an example of how this problem is solved. 7r ________ = -14 12

Explain and show each step in solving the following quadratic equation: 4b^2 - 15= -7b

Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks: a)Solve by factoring, b)solve by completing the square, c)solve by using the quadratic formula

1. Write an equation for the circle that passes through the points: (1, -1), (-5, 7), and (-6, 0). 2. Express the polar equation in rectangular form. 3. Find the total area enclosed by the graph of the polar equation r = 1 + cos 2θ. 4. Write the equation of the line tangent to the parametric curve x = tcos t, y

Brackets [ ] are used to indicate a subscript, so a[n] means the nth term of a sequence. 1. Write the first four terms of the sequence defined by a[n] = 2n + 3. 2. Write the first four terms of the arithmetic sequence with a[1] = -6 and d = 4. 3. What is the common ration in the geometric sequence 4, -12, 36, -108, . .

Show and explain. [(3x)/(x^2+2x-8] - [1/(x-2)]+[1/x+4]

Show and explain. [(2x2+6x)/(4x)]*[(6x+12)/(x2+2x-3)] /[(x2-4)/(x2-3x+2)]

1. The Greeks believed matter and energy were opposites. So is Einstein right in saying opposites are equivalent? 2. Can you add opposites? 3. You can add odd numbers and even numbers. Could they represent opposite theories like Plank and Maxwell? Can even and odd numbers be used as algebra in equations.

1. Complete table for savings in which interest is compounded continously. Initial investment Annual rate Time to double total $1000 ? ? $2281.88 2. Complete table for radioactive isotope Isotope Half-life(years) Initial quantity Amt after 1000 years 5715 ? 3.5g 3. The population of P of a city is given by P=

1. Graph the inequality. y  1 2. Graph the inequality. y  3x 3. Given f(x) = 4x + 1, find f(3). 4. Given f(x) = 5x2 - 3x + 1, find f(-2). A) -13 B) 15 C) -25 D) 27 5. Given f(x) = x2 + 5x + 3, find f(0). 6. Rewrite the equation 4x - 10y = 11 as a function of x. A) B) C)