A student is instructed to square a binomial and gets the results show

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

The correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

<h3>How to use binomial theorem?</h3>

We want to square a binomial and using pascal's triangle in binomial theorem, we know that; (x + a)² will follow the pattern;

1x²a⁰ + 2a¹x¹ + 1x⁰a²

Thus, we can say that the expression (x + 3)² will give us;

x² + 2(3x) + 9a²

= x² + 6x + a²

Thus, we can say that the correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

Complete Question is;

A student is instructed to square a binomial, and gets the result shown. Choose the correct description of the student's work. (x + 3)² = x² + 9 Choose the correct answer below.

A. The student is wrong. You cannot square a binomial, only monomials.

B. The student is wrong. There is a missing term.

C. The student is correct. Each given term is squared.

D. The student is wrong. The student should add the threes instead of multiplying them.

Read more about binomial Theorem at; brainly.com/question/13602562

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Olenka [21]

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3 years ago

Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 an

LUCKY_DIMON [66]

The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.

Option B shows the correct equation of inequality to write the time taken to complete the work.

<h3>What is inequality?</h3>

Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,

Oliver = 4 and one-fourth hours

Karissa = K hours

As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,

Oliver $\leq$ 2 Karissa