List all the other pairs of integers whose product is -12.
Of the pairs of factors you found, list all pairs that have a positive sum. Explain why they all have a positive sum.
Of the pairs of factors you found, list all pairs that have a negative sum. Explain why they all have a negative sum.
Name some ways that the expressions in the second table are different from those in the first table (aside from the fact that the expressions use different numbers).
[size=150]Consider the expression [math]x^2+bx+100[/math].[br][br]Complete the first table with all pairs of factors of 100 that would give positive values of [math]b[/math], and the second table with factors that would give negative values of [math]b[/math].[/size][br][br]For each pair, state the [math]b[/math] value they produce. (Use as many rows as needed.)
[size=150]Consider the expression [math]x^2+bx-100[/math]. Complete the first table with all pairs of factors of -100 that would result in positive values of [math]b[/math], the second table with factors that would result in negative values of [math]b[/math], and the third table with factors that would result in a zero value of [math]b[/math].[/size][br][br]For each pair of factors, state the [math]b[/math] value they produce. (Use as many rows as there are pairs of factors. You may not need all the rows.)
[math]x^2+99x-100[/math]
How many different integers [math]b[/math] can you find so that the expression [math]x^2+10x+b[/math] can be written in factored form?