ALLIED MAT110 MODULE 4 HOMEWORK ASSIGNMENT

Welcome to the Module 4 Homework Assignment for MAT 110: Beginning Algebra.This section prepares you to complete this assignment successfully. Please follow these instructions to complete and submit this assignment.You will create a document in either a .doc or .rtf format to record and save your work. If you have never created documents in an .rtf format, please visit the Academic Resource Center and click on Tutorials. You will then see a list of tutorials on the following page. Click on RTF Tutorial.Read the instructions carefully and review your work before you submit your assignment.Include a title page with this assignment. Your title page should follow standard APA formatting. Please view the .allied.edu/Pages/ViewPage.aspx?GroupID=189″>Title Page Example.When you are ready to submit the assignment, click the Start button at the bottom of the page to access the submission page and follow the instructions.If you have any problems with this assignment, please e-mail your instructor.Running head: [INSERT
TITLE HERE][INSERT
TITLE HERE]Student
NameAllied
American UniversityAuthor
Note This
paper was prepared for [INSERT COURSE NAME], [INSERT COURSE ASSIGNMENT] taught
by [INSERT INSTRUCTOR’S NAME].

Directions:
Please show all of your work for each problem.
If applicable, you may find Microsoft Word’s equation editor helpful in
creating mathematical expressions in Word.
There is a tutorial on using this equation editor in Module 1 Lecture
Notes. You also have the option of hand
writing your work and scanning it.1. Find the greatest common factor. 4, 6, 12.2. Factor.
24×3 + 30×23. Factor out the GCF with a negative
coefficient. –24m2n6
– 8mn5 – 32n44. Factor completely by factoring out any
common factors and then factoring by grouping.6×2
– 5xy + 6x – 5y5. The GCF of 15y + 20 is 5. The GCF of 15y + 21 is 3. Find the GCF of the product (15y +
20)(15y + 21).6. The area of a rectangle of length x
is given by 15x – x2.
Find the width of the rectangle in terms of x.7. Factor the trinomial completely. x2 + 8x – 98. Factor the trinomial completely. 2×2 + 16x + 329. Complete the following statement. 6a2 – 5a + 1 = (3a
– 1)(__?__)10. State whether the following is true or
false. x2 – 7x
– 30 = (x + 3)(x– 10)11. Factor completely. x2 + 11x + 2812. Factor completely. 15×2 + 23x + 413. Factor completely. 6z3 – 27z2
+ 12z14. The number of hot dogs sold at the
concession stand during each hour iih
after opening at a soccer tournament is given by the polynomial 2h2
– 19h + 24. Write this polynomial
in factored form.15. Find a positive value for k for which
the polynomial can be factored. x2
– kx + 2916. Factor completely. 9×2 + 417. Determine whether the following trinomial is
a perfect square. If it is, factor the
binomial.x2 – 12x + 3618. Factor completely. 25×2 + 40xy + 16y219. Factor. s2(t– u) –
9t2(t – u)20. State which method should be applied as the
first step for factoring the polynomial.
6×3 + 9×21. State which method should be applied as the
first step for factoring the polynomial.
2a2 + 9a + 1022. Solve the quadratic equation. 5×2 + 17x = –623. Solve the quadratic equation. 3x(2x – 15) = –8424. The sum of an integer and its square is
30. Find the integer.25. If the sides of a square are decreased by 3
cm, the area is decreased by 81 cm2.
What were the dimensions of the original square?26. Write in simplest form. .png”>27. Write in simplest form. .png”>28. Write the expression in simplest form. .png”>29. The area of the rectangle is represented by
5×2 + 19x + 12.
What is the length?5x
+ 4.png”>30. Multiply.
.png”>31. Multiply.
.png”>32. Divide.
.png”>33. Divide.
.png”>34. Perform the indicated operations. .png”>35. Find the area of the rectangle shown..png”>36. Subtract.
Express your answer in simplest form..png”>37. Subtract.
Express your answer in simplest form..png”>38. Add.
Express your answer in simplest form..png”>39. Add.
Express your answer in simplest form..png”>40. Add or subtract as indicated. .png”>41. One number is 8 less than another. Let x represent the larger number and
use a rational expression to represent the sum of the reciprocals of the two
numbers.42. Simplify.
.png”>43. Simplify.
.png”>44. What values for x, if any, must be
excluded in the following algebraic fraction?.png”>45. What values for x, if any, must be
excluded in the following algebraic fraction?.png”>46. Solve for x. .png”> + 6 = 147. Solve for x. .png”>48. Solve for x. .png”>49. One number is 3 times another. If the sum of their reciprocals is .png”>, find the two numbers.50. A 5-foot pole casts a shadow of 4 feet. How tall is a tree with a shadow of 16 feet?