I need a answer and b answer and c awnser
1 answer:
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If you have as many zeros (z1, z2,... zn) as the degree of the polynomial function (n), then the function equation is given by:
f(x) = k (x - z1) (x - z2) ··· (x - zn)
where k is a constant. To determine this constant you need additional information (e.g. another point of the function).
You might also have less zeros than the degree of the polynomial, because some of them have a multiplicity greater than 1. Let z1,...,zr be the zeros, and m1,...mr be the multiplicity of each zero, where m1+m2+...+mr=n (we assume the sum of all multiplicities equals the degree of the polynomial). In this case, you can use:
Again, you have an undetermined constant factor.
From any of the two expressions above, you have to apply the distributive property to go on to the standard form.
An example: the zeros of a 3-degree polynomial function are -2, 1 and 3. The function equation is of this form:
If you don't have all the zeros, or the sum of multiplicities does not equal the degree of the polynomial, you have not enough information to write the equation of the function.
f(x) = k (x - z1) (x - z2) ··· (x - zn)
where k is a constant. To determine this constant you need additional information (e.g. another point of the function).
You might also have less zeros than the degree of the polynomial, because some of them have a multiplicity greater than 1. Let z1,...,zr be the zeros, and m1,...mr be the multiplicity of each zero, where m1+m2+...+mr=n (we assume the sum of all multiplicities equals the degree of the polynomial). In this case, you can use:
Again, you have an undetermined constant factor.
From any of the two expressions above, you have to apply the distributive property to go on to the standard form.
An example: the zeros of a 3-degree polynomial function are -2, 1 and 3. The function equation is of this form:
If you don't have all the zeros, or the sum of multiplicities does not equal the degree of the polynomial, you have not enough information to write the equation of the function.
Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em></em>
<em>where represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for
We have:
Solving for
Dividing both sides by 2.
∴
Thus, the constant of proportionality = 4.