Well you can expand them both, and that's pretty simple, but long an tedious. I imagine that the better way to do these involves the Binomial Theorem.ibysaiyan said:Homework Statement
Hi
Basically i did these problems quite awhile back maybe 7 months ago lol its sort of dull now..
Question is:
Homework Equations
So do i first expand them or how? LOL i can do partials fractions and all but for some reason not these apparently easy to look problems.Thanks for your reply!
The Attempt at a Solution
HiMark44 said:
To expand a polynomial, you need to use the distributive property. This means that you need to multiply each term in the parentheses by every term outside of the parentheses, and then combine like terms. For example, to expand (x+2)(x+3), you would multiply x by both x and 3, and 2 by both x and 3. Then, you would combine like terms to get x^2+5x+6.
One common mistake when expanding polynomials is forgetting to distribute the negative sign. Remember to distribute the negative sign to each term inside the parentheses. Another mistake is forgetting to combine like terms. Make sure to combine any terms that have the same variable and exponent.
Yes, for example, to expand (3x+5)(2x^2+4x-1), you would multiply each term in the first parentheses by each term in the second parentheses. This would result in 6x^3+12x^2-3x+10x^2+20x-5. Then, you would combine like terms to get the final answer of 6x^3+22x^2+17x-5.
A polynomial is fully expanded when there are no more parentheses and all like terms have been combined. This means that there should be no more terms with the same variable and exponent. If there are still parentheses or like terms, then the polynomial is not fully expanded.
Yes, there are a few tips to make expanding polynomials easier. One tip is to remember the FOIL method, which stands for First, Outer, Inner, Last. This method can help you remember which terms to multiply first. Another tip is to always double check your work and make sure you have distributed the negative sign and combined like terms correctly. Lastly, practice makes perfect, so the more you practice expanding polynomials, the easier it will become!