Use synthetic division to divide (x^ 3 + x^ 2 – 40x – 4) ÷ (x – 6)

Mathematics

2 answers:

Marina CMI [18]2 years ago

7 0

The answer is C.

Hope this helps!!

mafiozo [28]2 years ago

4 0

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until reaching the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

Looking at the attached image we have that the quotient is given by:

$x ^ 2 + 7x + 2$

Answer:

Option C

You might be interested in

How do you find theoretical probability?

shepuryov [24]

Step-by-step explanation:

<h2><em>Theoretical Probability Definition</em></h2>

<em>Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.</em>

<h3><em>Find </em><em>the </em><em>probability of rolling a 5 on a fair </em><em>di</em><em>e</em></h3>

<em>Solution:</em><em> </em>

<em>To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.</em>

<em>I </em><em>hope </em><em>i</em><em>t</em><em> </em><em>helps</em>

4 0

2 years ago

Assume that adults have iq scores that are normally distributed with a mean of 100100 and a standard deviation of 15. find the t

anastassius [24]

The bell curve attached below shows the normal distribution of the data.

We are looking the value of X such as the area to its left gives the probability of 0.75

We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)

The z-score is = 0.7734

Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112

Hence the third quartile is 112