AVE College Ave Student Loar X o Mail - Marvin Bermudez - X & The Rebirth of the Clinic x Paraphrasing Tool X B Quiz 5 - 22SP MATH-160 x Math 160 Quiz 5 SP22.pc X + C O File | /Users/marvinbermudez/Downloads/Math%20160%20Quiz%205%20SP22.pdf M Paused Update Math 160 Quiz 5 SP22.pdf 2 / 4 - 59% + Problem 1: Consider the polynomial: 15x4 - 6x3 + 2x2 - 7. (1 point each) a) What is the degree of the polynomial? ) What is the leading coefficient? c) What is the constant term? NOTES #2 Multiplying a monomial (single term) by a binomial (two terms): 4x(5x3 - 7x) = 4x . 5x3 - 4x . 7x = 20x4 - 28x2 Multiplying a binomial (two terms) by a binomial (two terms): (4x + 3) (5x - 7) = 4x . 5x - 4x . 7 + 3 . 5x - 3.7 = 20x2 - 28x + 15x - 21 = 20x2 - 13x - 21 First terms Last terms (ax + b) (cx + d) = acx + adx + box + bd Inner terms Outer terms Multiplying a binomial (two terms) by a trinomial (three terms) (4x + 3) (5x3 - 7x + 2) = 4x . 5x3 - 4x . 7x + 4x . 2+3 . 5x3 - 3 . 7x + 3.2 = 20x4 - 28x2 + 8x + 15x3 - 21x + 6 = 20x4 + 15x3 - 28x2 - 13x + 6 Problem 2: (3 pts each b-e, 2 points each a, f Perform the operations and simplify by combining all like terms: a. (x + 5) (x - 7) d. (2x - 3)(4x2 + 5x+6) b. (3x - 1)(2x + 3) - (x - 4)(x + 2) e. (x - 2y)3 - (8xy2 - 3x2y - 2y3) c. 4x(x + 2) - 3x(x + 1)2 f. 2x(x - 7) + x2 -5x Math 160 Quiz 5...pdf w Ethics.docx SE1IXOVudEFwcD..ica SE1IXOVudEFWcD...ica SE11XOVudEFWCD...ica Show All XAVE College Ave Student Loar X o Mail - Marvin Bermudez - X & The Rebirth of the Clinic x Paraphrasing Tool X B Quiz 5 - 22SP MATH-160 X Math 160 Quiz 5 SP22.pc X + File | /Users/marvinbermudez/Downloads/Math%20160%20Quiz%205%20SP22.pdf M Paused Update Math 160 Quiz 5 SP22.pdf 3 / 4 - 67% Problem 3: (2 pts each) Problem 5: (2 points each) There is a mistake in each problem below. Discuss what is wrong and find the correct answer. Solve each equation. a. ( x + y)2 - (x + y) ( x - y) = x2 + 2xy+ y2 - x2 - y2 = 2xy a. (x - 1) (x + 3) =0 b. 3x(x - 5)(x + 5) = (3x2 - 15x) (3x2 + 15x) = 9x* - 225x2 b. x2 - 2x = 0 c. x2 - 25 = 0 NOTES #3 When factoring, we need to consider many different possibilities: In Problem 5, there are two answers for each problem. 1. There could be a common factor like this: 12ab - 8ac = 4a(3b - 2c). In this example, 4a is a factor that both 12ab and 8ac can be divided by. 2. Factoring using common formulas/patterns like these: a. (x + 3) (x+ 3)= x2+6x+9 b. (x - 3) (x - 3) = x2 - 6x+9 Additional practice problems (NOT TO BE SUBMITTED FOR GRADING): c. (x + 3) (x - 3) = x2 -9 d. (x + 3)(x + 4) = x2 + 3x+4x+12 =x2+7x+12 1. Section 1.4: Try problems 5,7,11,15,17,19,25,33,39,51,53 2. Section 1.5: Try problems 5,7,9,11,17,23,41 (READ this section - it's all factoring!) e. (x - 3)(y + 2) = xy + 2x - 3y -6 (and many others like this!) . Section 2.5: Try problems 6-21 (use the zero-product rule when appropriate) 3. We could find a common factor and then be able to factor more using a formula (see #2). Each section in your book provides practice problems or Section Exercises that you can find by a. 4x3 - 12x2 + 8x = 4x(x2 - 3x + 2) = 4x(x -1)(x -2) scrolling down the page to the bottom of the section. Preceding the Section Exercises is a Media section (like the one in Section 1.5 shown below). Each link is a video with more examples and solutions related to the section. Problem 4: (3 pts each) Factor each of the following completely - try guessing and checking or using formulas like those MEDIA above - treat these expressions like puzzles that need to be solved: a. 48a3b - 12ab3 = Access these online resources for ction and practice with factoring polynomials. . Identify GCF b. 2x2 - 7x - 15 = . Factor Trinomials when a Equals . Factor Trinomials when a is not equal to 1 Factor Sum or Difference of Cubes c. 20x2y - 22xy - 12y = d. 5x3 - 15x2 + 4x - 12 = 1.5 Section Exercises e. 4m8 - 36 = f. x2 - 12x + 27 = g. 4x2 + 12x + 9 Math 160 Quiz 5...pdf Ethics.docx SE11XOVudEFWCD...ica SE11XOVudEFWCD...ica SE11X0VudEFWCD....ica Show All X