Question

Part 1:
In your own words, explain how a trinomial of the form 2x2 + 13x + 15 can be turned into a four term polynomial suitable for factoring by grouping. Use complete sentences.

Part 2:
If you were an Algebra 1 instructor and were creating a test on factoring trinomials of the form ax2 + bx + c, what do you think would be the easiest way to create a trinomial that can be factored? Provide one unique example.

Answer 1

For part 1:

what are the two numbers that product to 30 and give sum of 13 ??

Answer 2

What are the two numbers whose product is 30 and sum is 13..

Answer 3

-_- umm....6 and 7?

Answer 4

6*7 = 42

not 30..

product should be 30..

and the sum 13..

Answer 5

is this a trick question?? i dk! im soo confused

Answer 6

Check for 10 and 3 ........

Answer 7

oh....^_^. now i feel slow

Answer 8

Why ??

Answer 9

so how do i turn any of this into a four term polynomial?

Answer 10

because i was over thinking it

Answer 11

so now you can split middle term that is 13x according to it:

\[2x^2 + \color{green}{13x} + 15\]

\[\implies 2x^2 + \color{blue}{10x + 3x} + 15\]

So this has now become Four term polynomial..

Answer 12

ohhh okayy.

Answer 13

dont forget part twwoo!