Mathematics College

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and avoid errors to happen.
Review
Instruction:
Factor each of the following quadratic expression.
1. x² + x
2. 5x2 - 25x
3. x2 - 16
4. x² + 4x + 4
5. x2 - 5x + 6

Answers

Answer 1

Step-by-step explanation:

Given expressions:

1. x² + x

2. 5x² - 25x

3. x² - 16

4. x² + 4x + 4

5. x² - 5x + 6

   Problem: Factor each of the quadratic expression

Solution:

A quadratic expression is an expression whose highest power is two.

1. x² + x

     For this expression:

       x² + x

    Factorizing x since  it is a common term;

       x(x + 1)          

   

2. 5x² - 25x

    For this expression;

   Factorize 5x since it common to both of them;

      5x(x - 5)

3. x² - 16

    For this expression;

  Apply the differences of two squares;

     x² - 16

     x² - 4²;

    Note;  x² - y²  = (x-y)(x+y)

So, x² - 4² = (x-4)(x + 4)

4. x² + 4x + 4

   To solve this,

     Find two numbers whose product will be 4 and sum also 4;

  x² + 4x + 4 = x² + 2x + 2x + 4

                    = x(x + 2) + 2(x + 2)

                     = (x + 2)(x + 2)

5. x² - 5x + 6

    To factorize this expression, simply find two numbers whose sum is -5 and product is 6;

            x² - 5x + 6 = x² - 3x - 2x + 6

                              = x (x - 3) -2(x - 3)  

                              = (x -2)(x-3)

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

For 14 you can see that all the angles must add up to 180.

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Speed=distance over time
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Drag and drop the correct answer in the box.

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Answers

Hi :)

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Subtract 4 from 2 to get −2
p−2=14

Add 2 to both sides
p=14+2


Add 14 and 2 to get 16
p= 16


Hope this helps :)

Answer: p=16

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation: 4,501 - 300 = 4,201

Answer:

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Step-by-step explanation:

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Answers

Answer:

Dont ask me

Step-by-step explanation:

Okay!!!!!

The slope would be -1.

In order to find this answer use the equation m=y2-y1/x2-x1 to plug in the value of the points and subtract. Then , if you plug it in correctly, you would get -7/7 which simplifies to -1.

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Answers

Answer: Is there an image??

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

hope i helped

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

:)

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Answers

Answer:

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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