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2 years ago

Find the values of m&n if x

Mathematics

1 answer:

Sever21 [200]2 years ago

6 0

The values of m and n from the given equation are 1/4 and -2

<h3>Polynomial functions</h3>

Given the polynomial function below

f(x) = mx^4+2x^3-3x^2+nx-4

If the zeros are 2 and -2, hence;

0 = 16m+16-12+2n-4
0 = 16m-16+12-2n-4

_______________
16m+2n = 0
16m - 2n = 8

Subtract

2n+2n = -8
4n = -8

n = -2

Substitute for "m'

16m + 2(-2) = 0
16m = 4

m = 1/4

Hence the values of m and n from the given equation are 1/4 and -2

Learn more on polynomials here; brainly.com/question/2833285

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3 years ago

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4 years ago

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blsea [12.9K]

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3 years ago

What are the domain and range of the function f(x)=-3(x-5)squared+4

svet-max [94.6K]

Domain is all real numbers
range
hmm
we know that x^2=a positive number
then multiply it by that negative -3
therefor the range is going to be mostly negative
if we make the x-5 equal to zero, then there is no negative, so
wher x=5, then f(5)=0+4=4
the highest positive number you can get is f(5)=4

so therfor

domain=all real number
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6 0

3 years ago

Use the properties of logarithms to write the following expression as one logarithm. logs logr + 8logr s − 3logr t

ankoles [38]

To solve this problem you must apply the proccedure shown below:
1. You have the following expresssion given in the problem above:
<span> </span> $log(s)log(r)+8log(rs)-3log(rt)
$ <span>
2. By using the logarithms properties, you have that the product of two logarithms can be written as a sum:
</span> $log(s+r)+8log(rs)-3log(rt)
$
3. The sum can written as a product and the susbtraction as a division. The number 8 and 3 can be written as exponents:
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$
Therefore, the answer is: $log(s+r)(rs)^8/(rt)^3$

4 0

3 years ago

Read 2 more answers