Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors

Step-by-step explanation:

Given polynomial :

A factor of polynomial is .

To find:

Equation of the polynomial as the product of linear factors.

Solution:

First of all, let us divide the polynomial with to find the other factors.

As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.

That quadratic will have 2 solutions.

Solving the quadratic in linear will give us the answer.

Result of division:

Now, solving the quadratic:

So, the linear equation can be written as:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer: the answer is e

step-by-step explanation: