Warm Up
In the previous lesson, you experienced the role products and sums play in the way that quadratic expressions are converted between standard and factored forms. Now, you will expand your understanding of the concept.
List all pairs of integers whose product is –12. For example, 2 and –6.
Enter all pairs of integers whose product is –12.
Compare your answer:
1 and –12, –1 and 12, 2 and –6, –2 and 6, 3 and –4, –3 and 4
Of the pairs of factors you found, list all pairs that have a positive sum. Explain why they have a positive sum.
Enter all pairs that have a positive sum and your explanation.
Compare your answer:
–1 and 12, –2 and 6, –3 and 4. The positive number has a larger absolute value than the negative number (or equivalent).
Of the pairs of factors you found, list all pairs that have a negative sum. Explain why they have a negative sum.
Enter all pairs that have a negative sum and your explanation.
Compare your answer:
1 and –12, 2 and –6, 3 and –4. The negative number has a larger absolute value than the positive number (or equivalent).