A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
<h3>What is a polynomial function?</h3>
A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
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Answer:
.1147816 and the 6 is repeating
Step-by-step explanation:
What you do is you have to divide 5/6 first.
5/6=.83 and the 3 is repeating.
You will then square .83 to get:
.1147816 and the 6 is repeating as your answer.
All real numbers such that y is greater than 3/17 or y>3/17. Hope this helps!!!!
Answer: a) 80 b) 32
Step-by-step explanation:
a) Given : Significance level : 
Critical value : 
Standard deviation : s =6.84
Margin of error : E= 1.5
The formula to find the sample size is given by :-
i.e. 
Hence, the required minimum sample size = 80
b) Given : Significance level : 
Critical value : 
Standard deviation : s =6.84
Margin of error : E= 2
The formula to find the sample size is given by :-
i.e. 
Hence, the required minimum sample size =32
Answer:
Significant figures are important when reporting measurements because of accuracy and the required exactness of a measure taken.
Step-by-step explanation:
Significant figures refers to the degree of exactness of a measure taken because no measuring device can give a completely accurate measure. This allows for a degree of uncertainty in the final measurement gotten. This concept of significant figures is important in the fields of engineering and science because it affects how easily reproducible a measure taken can be retaken and how close to the true value a measure is.
Converting the number 3.142 to 1 significant figure would result in a 3 however converting the number to 3 significant figures would give 3.14 which is more accurate representation of the figure.
