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Math Help - factoring

  1. #1
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    factoring

    Please Help!

    1.)Factor the expression: 4y^2-49
    2.)Factor the expression completely: 2x^2-16xy+32y^2
    3.)Solve the equation: 4x^2-2x=0
    4.)The length of a rectangular garden is 25 feet longer than the width. If it covers an area of 2600 sq. ft., find the length and width.
    5.)x and y vary inversely. If x=2.4 when y=130, find and equation relating x and y.
    6.)Find the domain of the rational expression: (over) x^2+4x" alt="x^2+4 (over) x^2+4x" />
    7.)Simplify: (over) 5y^2x^2" alt="3x^3(y-3) (over) 5y^2x^2" />
    8.) Divide (15A^3-12A^2-9A)/3A^2
    9.) Is a function defined by {(-2,3), (0,1), (2,-2), (4,2)}? If so state it's domain.
    10.) f(x)=-2x^2+7x+5 Find f (3/2)
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  2. #2
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    And the last of it!
    1.)Find the equation for the linear function:
    f(4)=-1 f(-2)=-4
    2. Sketch the graph of f(x)=2x+1
    3. Sketch the graph of f(x)=(2/3)x-3
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  3. #3
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    Quote Originally Posted by jscalalamoboy View Post
    Please Help!

    1.)Factor the expression: 4y^2-49
    2.)Factor the expression completely: 2x^2-16xy+32y^2
    3.)Solve the equation: 4x^2-2x=0
    4.)The length of a rectangular garden is 25 feet longer than the width. If it covers an area of 2600 sq. ft., find the length and width.
    5.)x and y vary inversely. If x=2.4 when y=130, find and equation relating x and y.
    6.)Find the domain of the rational expression: (over) x^2+4x" alt="x^2+4 (over) x^2+4x" />
    7.)Simplify: (over) 5y^2x^2" alt="3x^3(y-3) (over) 5y^2x^2" />
    8.) Divide (15A^3-12A^2-9A)/3A^2
    9.) Is a function defined by {(-2,3), (0,1), (2,-2), (4,2)}? If so state it's domain.
    10.) f(x)=-2x^2+7x+5 Find f (3/2)
    Quote Originally Posted by jscalalamoboy View Post
    And the last of it!
    1.)Find the equation for the linear function:
    f(4)=-1 f(-2)=-4
    2. Sketch the graph of f(x)=2x+1
    3. Sketch the graph of f(x)=(2/3)x-3


    You will have to show some work... You will learn only if you work out and get stuck somewhere. We will tell you how to continue....
    Lets start:

    1)Factor the expression: 4y^2-49

    Hint:
    4y^2-49 = (2y)^2 - 7^2. Hmm it looks familiar.... Have you ever seen what a^2 - b^2 is?

    2.)Factor the expression completely: 2x^2-16xy+32y^2

    Hint: Let u = \frac{x}{y}, then  x = uy
    2x^2-16xy+32y^2 = 2((uy)^2 - 8(uy)y + 16y^2)  = 2y^2(u^2 - 8u^2 + 16)

    Does (u^2 - 8u^2 + 16) = u^2 - 2(u)(4) + (4)^2 remind you of anything?

    3.)Solve the equation: 4x^2-2x=0

    Hint: 4x^2-2x=0 \Rightarrow 2x(2x-1) = 0
    Use this fact: for real numbers a and b, if ab = 0, then a=0 or b=0

    4)The length of a rectangular garden is 25 feet longer than the width. If it covers an area of 2600 sq. ft., find the length and width.

    Hint: Denote length by l and width by w.

    l = 25+w

    Area = 2600

    lw = 2600

    (25+w)w = 2600

    w^2 + 25w - 2600 = 0

    Now solve the quadratic...

    Try these... If you did not understand anything.. ask
    Then I will help you with remaining...

    Good luck
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