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Elliott Fletcher commented on Dividing a polynomial with remainders, using the remainder theorem 7 years, 5 months ago

Thanks Stanislav, the code was really helpful :)

Elliott Fletcher on Dividing a polynomial with remainders, using the remainder theorem 7 years, 5 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher commented on Finding the missing value of a constant in a polynomial, using the Factor Theorem 7 years, 5 months ago

Yeah, i completely agree with the title that you suggested Hannah, it sounds much better.

Elliott Fletcher on Finding the missing value of a constant in a polynomial, using the Factor Theorem 7 years, 5 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher on Laws of Indices 7 years, 5 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher on Completing the square 7 years, 5 months ago

Gave some feedback: Has some problems

Elliott Fletcher commented on Completing the square 7 years, 5 months ago

Main Parts

a) good

b) i) and ii) good

b) iii) I think there is an error here, i got $\simplify{x^2+29x-7}$, so i calculated the correct answer as (x+29/2)^2-869/4, however the displayed correct answer is (x+29/2)^2-71.

c) i) I think there is an error here, i got $\simplify{6x^2+36x+13}$, so i got the answer as 6(x+3)^2-41. The advice section also shows this answer, but the displayed answer 6(x+3)^2-51.

c) ii) There is an error here too, i got $\simplify{3x^2+60x-10}$, so i think the answer should be 3(x+10)^2-310, but the displayed answer is 3(x+10)^2-59.

d) good, but i would relabel the two possible answers here, as you have in the advice section as x1 and x2 (x1 being the smaller one).

Advice

I think it's fine if you don't show the working out for every question (because i know how long that would take), but i think you should say at the beginning of the advice for each part something like "We will just do one question from each part, as the other questions follow the same pattern" or "This can be similarly done for ii) and iii)".

d) I would write the numbers as fractions instead of decimals, so it's easier for the students to follow. Also, you say in the question to give the smallest answer first, so i think x1 should be the smaller number instead of x2.

Elliott Fletcher on Using Surds, Rationalising the Denominator 7 years, 5 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher commented on Expansion of brackets 7 years, 5 months ago

Main Parts

parts a) and b)

Typing in the correct answer works fine, but it also displays the red exclamation mark warning saying "Your answer was interpreted to use the unexpected variable name x". This doesn't appear for any of the other parts, so i would maybe take it out.

For all parts, i would put the answer box on the same line as the question, for example

8x(-3x-3x^2+2) = -24x^2-24x^3+16x.

I think it just looks a bit neater.

Parts i) and j)

I would give a hint for students to use the * when writing a product of two different terms like xy in the answer box, in case some students write this and can't understand why their answer is wrong. I think this can be done in the string restrictions section.

I'm not sure how important this is, but maybe put a full stop at the end of each question (after the answer box), also in the advice section.

Advice

I think there should be brackets around the terms that you are multiplying together (even though i know the point of this question is to expand brackets), for example for part a)

\[
\begin{align}
10(-4x-9) &= (10 \times -4x)+(-9 \times 10),\\
&= -90-40*x.
\end{align}
\]

Elliott Fletcher on Expansion of brackets 7 years, 5 months ago

Gave some feedback: Has some problems