1 / 10

Math 8H

Math 8H. 8-4 (day 2) More Factoring Practice. Algebra 1 Glencoe McGraw-Hill JoAnn Evans. 24x 2 y + 6xy – 9y. Start every factoring problem by checking for a greatest common monomial factor. 3y(8x 2 + 2x – 3). -24. Check your solution!. ●. 6. -4. +. 2.

joemorris
Download Presentation

Math 8H

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math 8H 8-4 (day 2) More Factoring Practice Algebra 1 Glencoe McGraw-Hill JoAnn Evans

  2. 24x2y + 6xy – 9y Start every factoring problem by checking for a greatest common monomial factor. 3y(8x2 + 2x – 3) -24 Check your solution! ● 6 -4 + 2 3y(2x - 1)(4x + 3) is the factored form.

  3. 10y2 + 31y + 15 150 ● Check your solution! 6 25 + 31 (2y + 5)(5y + 3) is the factored form.

  4. 23x - 6 + 4x2 Put the polynomial in standard form before you begin to factor. 4x2 + 23x – 6 -24 ● 24 -1 + 23 (x + 6)(4x - 1) is the factored form.

  5. Practice Problems 4 - 25n + 25n2 x4 - 10x2 + 25 25n2 - 25n + 4 Notice the power of the first term. 100 25 ● ● -5 -5 -20 -5 + + -25 -10 (5n - 1)(5n - 4) (x2 - 5)(x2 - 5)

  6. Solve Equations by Factoring (find the roots) x2 = -8x Set the equation equal to 0. x2 + 8x = 0 Factor the polynomial completely. x(x + 8)= 0 Set each of the factors equal to 0. x = 0 or x + 8 = 0 x =

  7. Solve Equations by Factoring (find the roots) 9y2 = 12y - 4 36 Set the equation equal to 0. Make sure it’s in standard form. ● -6 -6 + -12 9y2 – 12y + 4 = 0 Factor the polynomial completely. (3y – 2)(3y - 2)= 0 Set each of the factors equal to 0. 3y - 2 = 0

  8. Find two consecutive positive even integers whose product is 80. Let x = the 1st integer Let x + 2 = the 2nd integer 1st integer  2nd integer = 80 x(x + 2) = 80 x2 + 2x = 80 -80 x2 + 2x – 80 = 0 ● 10 -8 + (x + 10) (x – 8) = 0 2 x + 10 = 0 or x – 8 = 0 x = -10 or 8 Remember the problem asked for positive consecutive even integers. Only one of the roots will fit the context of this problem. The 1st integer is 8 and the 2nd integer is 10.

  9. The width of a rectangular poster is 7 in. less than its length. If the poster’s area is 78 in2, find the dimensions. Let x = length Let x - 7 = width x - 7 length  width = area x x(x - 7) = 78 -78 x2 - 7x = 78 ● 6 -13 + x2 - 7x – 78 = 0 -7 (x + 6) (x – 13) = 0 Only the positive root makes sense in this context. Length can’t be negative. Discard the negative root. x = -6 or 13 Length is 13 and width is 6.

  10. The sum of the squares of two negative consecutive integers is 145. Find the integers. Let x = 1st integer Let x + 1 = 2nd integer square of 1st + square of 2nd = 145 x2 + (x + 1)2 = 145 -72 ● x2 + (x + 1)(x + 1) = 145 9 -8 + x2 + x2 + x + x + 1 = 145 1 2x2 + 2x + 1 = 145 x = -9 or 8 2x2 + 2x – 144 = 0 Which answer doesn’t make sense in the context of this problem? 2(x2 + x – 72) = 0 2(x + 9)(x – 8) = 0 x + 9 = 0 or x – 8 = 0 The integers are -9 & -8.

More Related