Math

Can some one explain these to me i need the factors. i am totally lost.
thanks
x^2+x-6
x^2+7x+10
x^2+5x+6
x^2+2xy+15y^2

  1. 👍
  2. 👎
  3. 👁
  1. (x+a)(x+b)
    FOIL
    x^2 + ax + bx + ab which can be simplified into
    x^2 + (a+b)x + ab
    Use this as a base for all of the your equations.

    Lets do the first one.

    ab will be the same as the last term which is -6. Then look at the second term which is x. In this case there is nothing in front of x. However x is the same as 1 times x since 1 times anything is the same. Look back to the equation I gave you.
    (a+b)x will be equal to 1x which is equal to x. Therefore, a+b has to equal to 1 and we know ab is equal to -6. List all the two pairs of whole numbers whose product is 6.

    1 6
    2 3

    Since 6 is negative it means one of them has to be negative
    -1 6
    1 -6
    -2 3
    2 -3

    (a+b) = 1
    The only pair of numbers above that add up to 1 is 3 and -2. So just let a = 3 and b = -2.
    (x+a)(x+b)
    (x+3)(x-2)
    And there you go. Sorry, if you still don't understand, I know I'm far from being an expert on explaining stuff.

    1. 👍
    2. 👎
  2. x^2+7x+10
    x^2+(a+b)x+ab
    ab = 10
    a+b = 7

    Pairs whose product is 10.
    1 10
    2 5

    Then only pair that add up to 7 is 2 and 5. So let a = 2 and b = 5.
    (x+a)(x+b)
    (x+2)(x+5)

    -----------------------------
    x^2+5x+6
    x^2+(a+b)x+ab
    ab = 6
    a+b = 5

    Pairs whose product is 6

    1 6
    2 3

    Then the only pair that adds up to 5 is 2 and 3. So let a = 2 and b = 3.
    (x+a)(x+b)
    (x+2)(x+3)

    -----------------------------
    The last one is complicated... and it involves material that you may not have learned yet if you just started factors. Are you sure it is correct?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. US history

    In a paragraph, explain how the writing associated with the Lost Generation reflected the new emphasis on consumerism in American culture. Provide examples of Lost Generation authors and literary works.

  2. College Chemistry-Please help me

    I need to find the ionic equation of: 3Ba(OH)2(aq)+2H3PO4(aq)->Ba3(PO4)2+6H20(l) I'm totally lost on this question

  3. algebra

    Hi can someone plz help me check my answers? 1.Which of the following expressions has three factors?(1 point) A. x+y−4 B.5(p+6)(q−4)***** C.2(7−b) D.(d−3)(c+9) 2.How many factors does the expression (17−r) have? A.one

  4. Math (Algebra 3)

    A population of ladybugs rapidly multiplies so that the population t days from now is given by A(t) = 3000e^(.01t). How many ladybugs are present now? How many will there be after a week? im totally lost on this one! Where do i

  1. geometry

    I totally don't understand Vectors How do you describe a vector as an ordered pair? on the x and Y where they cross it is 41 degrees and goes to the left up to the y 77 I am totally confused Help

  2. History

    In 3–5 sentences, explain what you think were the most important factors that led to rapid industrialization in the late 1800s, and why were they important. Choose 2–3 factors.

  3. English

    1. This is the same watch that I lost. 2. This is the watch that I lost. 3. This is the very watch that I lost. 4. This is the same watch as I lost. ------------------------------- Do #1, 2, and 3 have the same meaning? They mean

  4. AP European History

    What were the factors responsible for western europe's domination of world trade from 1650-1800? i have to know 2 economic factors, 2 technological factors, and 2 institutional factors. please help this is going to be on a test

  1. Geometry

    The coordinates of the vertices of ABC are A(-2,2) B (5, -3) and C (-4,-1) Identify the perimeter of ABC. Round each length to the nearest tenth before adding. I am totally lost!

  2. Video in java(netbeans)

    Hi, i am using netbeans and i'm trying to incorporate a video into my project. I want the program to run a video when a button(jbutton) is clicked. i'm totally lost. p.s. i do have JMstudio to run videos in java but got no clue

  3. Chemistry

    Hi! I am totally stuck on this question: Explain why a cool flame is important to use in heating a solution to dryness. Can you please explain to me exactly why because I really do not understand. thank you!

  4. Chemistry

    Hello! I really need help with this. Name the following salts according to the old -ic, -ous system and the stock system. a. CrS b. Cr2O3 c. CrI3 X 6H20 d. CuCl e. CuI2 f. CuBr2 x 4H20 g. HgCl2 h. Hg2Cl2 i. Fe (OH)3 I am totally

You can view more similar questions or ask a new question.