Mathematics Exam  >  Mathematics Notes  >  Algebra  >  Problems for Practice - 4

Problems for Practice - 4 | Algebra - Mathematics PDF Download

For problems 1 & 2 use the Binomial Theorem to expand the given function.

1. Use the Binomial Theorem to expand (4+3x)5.

Solution. Not really a lot to do with this problem.  All we need to do is use the formula from the Binomial Theorem to do the expansion.  Here is that work. 

Problems for Practice - 4 | Algebra - Mathematics

2. Use the Binomial Theorem to expand (9−x)4.

Solution. Not really a lot to do with this problem.  All we need to do is use the formula from the Binomial Theorem to do the expansion.  Here is that work.

Problems for Practice - 4 | Algebra - Mathematics

3. Write down the first four terms in the binomial series for (1+3x)−6.

Solution. First, we need to make sure it is in the proper form to use the Binomial Series from the notes which in this case we are already in the proper form with k = -6.

Step 2. Now all we need to do is plug into the formula from the notes and write down the first four terms.

Problems for Practice - 4 | Algebra - Mathematics

4. Write down the first four terms in the binomial series for 3√8−2x.

Solution. First, we need to make sure it is in the proper form to use the Binomial Series.  Here is the proper form for this function, 

Problems for Practice - 4 | Algebra - Mathematics

Recall that for proper from we need it to be in the form “1+” and so we needed to factor the 8 out of the root and “move” the minus sign into the second term.  Also, as we can see we will have Problems for Practice - 4 | Algebra - Mathematics

Step 2. Now all we need to do is plug into the formula from the notes and write down the first four terms. 

Problems for Practice - 4 | Algebra - Mathematics

The document Problems for Practice - 4 | Algebra - Mathematics is a part of the Mathematics Course Algebra.
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FAQs on Problems for Practice - 4 - Algebra - Mathematics

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Ans. Some common math problems faced by students preparing for exams include difficulty in understanding concepts, lack of practice, time management issues, and fear of making mistakes.
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Ans. To improve math skills for exams, it is important to practice regularly, understand the concepts thoroughly, seek help from teachers or tutors when needed, and utilize resources such as textbooks, online tutorials, and practice exams.
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Ans. To manage time effectively during math exams, it is important to familiarize yourself with the exam format and time limits, prioritize questions based on difficulty or weightage, allocate time for each question accordingly, skip difficult questions temporarily and come back to them later if time permits, and avoid spending too much time on a single question.
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