factoring quadratics 4.2.notebook - mrs....
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Factoring Quadratics 4.2.notebook
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Factoring Quadratics 4.2.notebook
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4.2:Factoring Quadratic Trinomial
Expressions when "a= 1"
Objectives:Students will be able to factor quadratic expressions
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What is standard form of a quadratic function?
y = ax2 + bx + c
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Distribute!
(x + 3)(x 8)
x2 8x +3x 24
x(x 8) + 3(x 8)
x2 5x 24
1. Everyone in first parentheses wants to meet everyone in second!
﴾move to reveal﴿
2. Multiply! ﴾move to reveal﴿
3. Combine like terms
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Your Turn!Distribute the following....
x2 + 9x + 20Pull for answer
(x + 4)(x + 5)
(2x 1)(x 3) 2x2 7x + 3Pull for answer
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Factoring is rewriting an expression as a product its factors or
"undistributing"
Distributing rewrites the expression
from factored form to
standard form.
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Pull tab to here!
Remember this distributing example?
(x + 3)(x 8)
x2 8x +3x 24x(x 8) + 3(x 8)
x2 5x 24What is the
relationship between 3, 8 and 24?
What is the relationship between
3, 8 and 5?
Pull
Pull
Stuck?? Erase below..(3)(8) = 24 and 3 + 8 = 5
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(x + 3)(x 8)
x2 8x +3x 24
x(x 8) + 3(x 8)
x2 5x 24
2. Find two numbers with product of 24 and
sum of 5
3. Factor 1st two terms
Factor 2nd two terms
4. Write two factors
1. Start in standard form
Let's look at distributing in
reverse!
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Steps to Factor Quadratic Expressions!
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How can I check my answer?
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Your Turn!Factor the following....
(x +4)(x +5)Pull for answer
x2 +9x +20
2x2 7x +3 (2x 1)(x 3)Pull for answer
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