The expression above is an example of a polynomial. See the explanation below for how it works.
<h3>What is a polynomial?</h3>
Polynomials are the sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
<h3>What is an example of how a polynomial works?</h3>
Let us use the following exercise.
Give an examples polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and (i) deg p(x)=deg q(x)
<h3>What is the solution to the above?</h3>
(i) deg p(x) = deg q(x)
Recall the formula
Dividend = Divisor x quotient + Remainder
p(x)=g(x)×q(x)+r(x)
When the divisor is constant, the degree of quotient equals the degree of dividend.
Let us assume the division of 4x² by 2.
Here, p(x)=4x²
g(x)=2
q(x)= 2x² and r(x)=0
Degree of p(x) and q(x) is the same i.e., 2.
Checking for division algorithm,
p(x)=g(x)×q(x)+r(x)
4x² =2(2x²2)
Hence, the division algorithm is satisfied.
Learn more about Polynomial:
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Leading coefficients are the numbers written in front of the variable with the largest exponent. Just like regular coefficients, they can be positive, negative, real, or imaginary as well as whole numbers, fractions or decimals.
So the leading coeffiemt would be 15. i hope this is correct and helped !!
Answer:
-2
Step-by-step explanation:
