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In Exercises 9-46, factor the trinomial completely by using any method Remember to look for common factor first. (See Example 1-7)
32. 2a2 + 15ab − 27b2
Example 1
Factoring a trinomial by the AC-Method
Factor by using the ac-method. 12x2 -5x - 2
Example 2
Factoring a Trinomial by the Ac-Method
Factor by the trial-and-error method. -20c3 + 34c2d -6cd2
Example 3
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method. 2x2 + 7x + 6
Example 4
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method. 13y - 6 + 8y2
Example 5
Factoring a Trinomial by the Trial- and- Error Method
Factor by the trial-and-error method.
180x3y + 208x2y2 − 20xy3
Example 6
Factoring a Trinomial by the Trial- and- Error Method
Factor completely. 2x2 + 9x + 14
Example 7
Factoring a Trinomial with a Leading Coefficient of 1
Factor completely. x2 − 10x + 16
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Chapter 4 Solutions
INTERMEDIATE ALGEBRA (LL)-W/ACCESS
- Solve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forward
- Solve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forward
- A falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardListen Solve the quadratic equation. Write the smaller answer first. 2 Xx - 5x = 24 x = Α x =arrow_forwardSolve the absolute equation |2x = 4| = 10 ○ a) x = -7, x = 3 ○ b) x = -2, x = 6 ○ c) x = -3, x = 7 ○ d) x = 7arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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