Lesson 5 Factoring Quadratic Equations

Lesson 5 Factoring Quadratic Equations

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Find two numbers that multiply to 17 and add to 18. List them from greatest to least, separated by a comma with NO space.

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Find two numbers that multiply to 20 and add to 9. List them from least to greatest, separated by a comma with NO space.

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Find two numbers that multiply to 11 and add to -12. List the numbers from least to greatest, separated by a comma with NO space.

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Find two numbers that multiply to 36 and add to -20. List the answers from least to greatest, separated by a comma with NO space.

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Factor

 $x^2+6x+8$  ,
List the two factors without spaced between the addition or subtraction symbols.

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Factor

 $x^2-13x+30$  List the two factors without spaced between the addition or subtraction symbols.

Multiple Choice

Solve

b(b−4.5)=0

• 0, -4.5

• 0, 4.5

• No solutions

• All real numbers

Fill in the Blank

Solve,

(7x+14)(7x+14)=0

Write only the numeric answer. For two answers, write the numbers from least to greatest separated by a comma with NO space.

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Solve

(2x+4)(x−4)=0

For two answers, write the numbers from least to greatest separated by a comma with NO space.

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Solve,

(-2+u)(3−u)=0

For two answers, write the numbers from least to greatest separated by a comma with NO space.

Multiple Choice

Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.

Which of the following inputs is impossible for this function?

• -1

• 2

• 3

• 8

Open Ended

When solving the equation (2−x)(x+1)=11, Priya graphs y=(2−x)(x+1)−11 and then looks to find where the graph crosses the x-axis.

Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations 2−x=11 and x+1=11, so the solutions are x=-9 or x=10.

Do you agree with Tyler? If not, where is the mistake in his reasoning? How many solutions does the equation have? Find out by graphing Priya’s equation.

Open Ended