Students will be able to factor quadratics that contain negative numbers.
Students will be able to factor quadratic equations when the "a" value is not equal to 1 (A/B level)
Typing Tip: To type something like
Type x^2+5x-10 with no spaces.
The ^ can be found on the 6 key.
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Question 1
1.
Multiply the factored form
to find the standard form
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Question 2
2.
When both the 2 and 4 are positive, what is true about the "b" and "c" values?
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Question 3
3.
Multiply the factored form
to find the standard form
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Question 4
4.
When the "bigger" number (4) is positive and the smaller number (2) is negative, what is true about the "b" and "c" values?
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Question 5
5.
Multiply the factored form
to find the standard form
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Question 6
6.
When the "bigger" number (4) is negative and the smaller number (2) is positive, what is true about the "b" and "c" values?
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Question 7
7.
Multiply the factored form
to find the standard form
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Question 8
8.
When both numbers are negative, what is true about the "b" and "c" values?
Finding factors that add to a specific number is part of this process. Some people can do this pretty easily, but others need a more clear process, especially when negative numbers are involved. Try the problems below. If you get stuck, there is a video after #11.
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Question 9
9.
What two numbers multiply to equal 20 and add to equal 12?
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Question 10
10.
What two numbers multiply to equal -30 and add to equal -1
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Question 11
11.
What two numbers multiply to equal 30 and add to equal -13
If that part was difficult, the video below describes an organizational tool and process to help figure out those numbers.
Use the skill you just learned and the patterns you recognized from A5-2 to factor the quadratics below. Some people find they need to do the work on paper and some don't. When there are negatives, I often find that scratch paper is helpful.
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Question 12
12.
What two numbers multiply to make 12 and add to make 8?
Use the sentence frame to answer the question:
_____ and _____
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Question 13
13.
Factor the equation below.
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Question 14
14.
What two numbers multiply to make 12 and add to make -8?
Use the sentence frame to answer the question:
_____ and _____
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Question 15
15.
Factor the equation below.
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Question 16
16.
What two numbers multiply to make -12 and add to make -4?
Use the sentence frame to answer the question:
_____ and _____
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Question 17
17.
Factor the equation below.
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Question 18
18.
What two numbers multiply to make -12 and add to make 4?
Use the sentence frame to answer the question:
_____ and _____
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Question 19
19.
Factor the equation below.
If you struggled with that, watch the video below.