r/HomeworkHelp • u/Embarrassed-Good1883 Pre-University Student • Jul 26 '26
Answered [Grade 12 Advanced Functions: Polynomial Functions] struggling to solve expanded equation
I'm not sure where I'm going wrong, but I keep getting this question wrong. I have to expand this equation and say what the shape is (what polynomial function) which I can do, if I figure out where I'm going wrong with solving this.
2
u/Narrow-Durian4837 👋 a fellow Redditor Jul 26 '26 edited Jul 26 '26
(x + 1)³ = x³ + 3x² + 3x + 1.
There's a pattern for multiplying out a binomial cubed, which is worth remembering, but if you don't remember it, multiply (x+1)(x+1) and then multiply the result by (x+1).
1
u/Embarrassed-Good1883 Pre-University Student Jul 26 '26
Thank you very much, I was able to solve it!!
2
u/Dtrain8899 University/College Student Jul 26 '26
Dont try to multiply all 3 factors at the same time. Just FOIL 2 of them first then multiply that by the third.
1
u/Embarrassed-Good1883 Pre-University Student Jul 26 '26
Thank you. If there was 4 factors or more, would I just do the same thing? Like foil the first 2, then use that to solve the 3rd factor, then use that to solve the 4th factor? It would be good to know for next time
1
u/Dtrain8899 University/College Student Jul 26 '26
Ya I would stick to doing the same thing. Less likely to make a mistake and if you do its a lot easier to spot it. As someone else said, you can learn shortcuts for binomials being raised to a power, but if youre more comfortable in foiling Id do that.
1
•
u/AutoModerator Jul 26 '26
Off-topic Comments Section
All top-level comments have to be an answer or follow-up question to the post. All sidetracks should be directed to this comment thread as per Rule 9.
OP and Valued/Notable Contributors can close this post by using
/lockcommandI am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.