What are the zeros of the function? what are their multiplicities? f(x)=x^4-4x^3+3x^2

1 answer:

4 0

Since each term contains x, x= 0 is one answer Also as x^2 is a factor it has duplicity 2.
Factoring:-

x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0

so x = 3 and x = 1 are also zeros

Answer:- x = 0 (duplicity 2), x = 1 and x = 3.

You might be interested in

Kellen's boat travels 12 mph. Find the rate of the

Varvara68 [4.7K]

<u>Answer:</u>

Rate of river current is = 3 mph

<u>Explanation: </u>

Given speed of boat in still water is equal to 12mph

We know speed = distance divided by time

Given distance travelled upstream = 6 miles and

that distance travelled downstream = 10 miles

Let x = rate of river current

and t = time taken to travel 6miles upstream as well as to travel 10 miles downstream

We know, speed downstream = speed of current + speed of boat = x + 12

Speed upstream = speed of current - speed of boat = x - 12

speed downstream = 10 divided by t and speed upstream = 6 divided by t

so the two equations are -

$\frac{10}{t}=\mathrm{x}+12$

and $\frac{6}{t}=x-12$

dividing the two equations we get $\frac{10}{6}=\frac{(x+12)}{(x-12)}$

$10 \times(\mathrm{x}-12)=6 \times(\mathrm{x}+12)$

solving for x we get x = 3mph is the rate of river current.

5 0

3 years ago

On a scatter plot, what does it mean when both variables are increasing?

Elodia [21]

When both variables increase together, a line can be made to represent their constant rise. This means that there is a positive correlation between the two, as one increases or decreases with the other.

The answer is A. positive correlation.

4 0

3 years ago

Read 2 more answers

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

andriy [413]

In Mr. Green's class, we can clearly see that there are 10 girls.

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

If eight students scored 100 on a test, twelve scored 90, and eight scored 80, what was the mean of the

asambeis [7]