<p>The following 25 problems are worth 0.2 extra credit point each, for a total of up to 5 points. Submit to the Extra Credit Drop Box. </p><p>1. Watch the videos Combining Like Terms & The Distributive Property and Adding and Subtracting Polynomials Then do the following:</p><p>A) Add (3x2 + 2x + 1) + (4x2 + 3). Remember to only combine LIKE terms. ANSWER: 7x2 + 2x + 4</p><p>B) Subtract (12x3 + 3x2 - 5) - (10x3 - 5x2 + 1). ANSWER: 2x3 + 8x2 - 6</p><p>C) Use the Distributive Property to multiply out 2(x + 3). ANSWER:2x +6</p><p>D) Use the Distrbutive Property twice in 3(x + 4) + 5(x + 2) and then combine like terms. Your answer will consist of an x-term and a numerical term. ANSWER: 8x + 22</p><p>E) Use the Distrbutive Property twice in 3(x + 4) - 2(x + 2) and then combine like terms. Your answer will consist of an x-term and a numerical term. Note that this the same problem as 3(x + 4) + (-2)(x + 2) where you multiply -2 times each of the two terms of x+2. ANSWER: x + 8</p><p>2. Watch the video Exponent Rules Then do the following:</p><p>A) Multiply x3 • x4 and write as a single power of x. ANSWER: x7 </p><p>B) Multiply (x5)3 and write as a single power of x. Note: This is the same as x5 • x5 • x5. ANSWER: x15 </p><p>C) Divide x7/x2 and write as a single power of x. ANSWER: x5 </p><p>D) Multiple (2x3)4. Note that this is the same as 2x3 • 2x3 • 2x3 • 2x3. ANSWER: 16x12 </p><p>E) Write x-3 as a fraction with a positive power on x. ANSWER: 1/x3 </p><p>F) What does (2x)0 simplify to? ANSWER: 1</p><p>G) What does 1/(2x)-2 simplify to? Note that this is 1 over the quantity of (2x) raised to the negative 1 power. ANSWER: 4x2 </p><p>3) Watch the video Multiplying Terms With Exponents. Then do the following:</p><p>A) Multiply (2x3) • (3x2) ANSWER: 6x5 B) Multiply (3x4) • (-2x3) ANSWER: -6x7 </p><p>C) Multiply (2xy2) • (2xy)2 , a problem very similar to one shown in the video at the 4:26 place in the video. ANSWER: 8x3y4</p><p>4) Watch the video Multiplying a Term Times a Polynomial and then do the following:</p><p>A) Multiply 5a(4a2 + 3a) and simplify. (Very similar to first problem of video) ANSWER: 20a3 + 15a2</p><p>B) Multiply 3x2(5x3 - 2x). Remember that after you mulitply you can not combine these unlike terms! ANSWER: 15x5 – 6x3</p><p>C) Multiply x3(x2 - 3x + 3). ANSWER: x5 - 3x4 + 3x3</p><p>5) Apply both the principles of the Distributive Property, Exponent Properties, and Combining Like Terms, to multiply out the following and simplify. Remember that ONLY like terms may be combined!</p><p>A) 4x(x + 1) + 3x(x + 5) ANSWER: 7x2 + 19</p><p>B) 3x(x + 5) - 2x(x + 4) ANSWER: x2 + 7x</p><p>C) 3x2(x2 + 3x) + 2x(x3 + x) ANSWER: 6x4 + 9x3 + 2x2</p><p>D) 2x(x2 + 5x + 3) + 4x2(x + 3) ANSWER: 6x3 + 22x2 + 6x</p><p>6) Watch the video The FOIL Method and do the following:</p><p>A) Multiply (x + 3)(x + 2) and combine like terms. Your answer should have 3 terms! ANSWER: x2 + 5x + 6</p><p>B) Multiply (3x - 3)(2x - 5) and combine like terms. ANSWER: 6x2 -21x + 15</p><p>C) Muliply (4x + 2)(4x - 2) and combine like terms. ANSWER: 16x2 - 4</p>