Simplify the expression. What classification describes the resulting polynomial? (3x^2-11x-4)-(2x^2-x-6)

Mathematics

1 answer:

Gnoma [55]2 years ago

8 0

The expression can be simplified to a polynomial of degree 2.

$x^2 - 10x + 2$

<h3>How to simplify the expression?</h3>

Here we have the expression:

$(3x^2 -11x - 4) - (2x^2 - x - 6)$

We can directly simplify this by taking the variable as common factor:

$(3 - 2)*x^2 + (-11 + 1)*x + (-4 + 6)\\\\x^2 - 10x + 2$

This is a polynomial, as you can see, the maximum exponent is 2, so the degree of the polynomial is 2.

If you want to learn more about polynomials:

brainly.com/question/4142886

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Question 61 pts Richard has been given a 12-question multiple-choice quiz in his history class. Each question has three answers,

Brut [27]

Answer:

0.946 = 94.6% probability that he will answer at least 2 questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

12 questions.

This means that $n = 12$

Each question has three answers, of which only one is correct.

This means that $p = \frac{1}{3} = 0.3333$

Assuming that Richard guesses on all 12 questions, find the probability that he will answer at least 2 questions correctly.

Either he answers less than 2 questions correctly, or he answers at least 2 questions correctly. The sum of the probabilities of these outcomes is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$