When multiplying polynomials for a math assignment, Pat found the product to be -4x+8r2 - 2x +5. He then had to state the leading coefficient and the degree of this
polynomial. Pat wrote down -4 for the leading coefficient and 1 for the degree. Do you agree with pat's answer? Explain your reasoning.
Answers
SOLUTION
TO DETERMINE
When multiplying polynomials for a math assignment, Pat found the product to be - 4x + 8x² - 2x³ + 5 He then had to state the leading coefficient and the degree of this polynomial. Pat wrote down -4 for the leading coefficient and 1 for the degree. Do you agree with pat's answer? Explain your reasoning.
CONCEPT TO BE IMPLEMENTED
Polynomial
Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables
DEGREE OF A POLYNOMIAL
Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient
Leading coefficient
The leading term is the term with the highest power, and its coefficient is called the leading coefficient.
EVALUATION
Here the given polynomial is
- 4x + 8x² - 2x³ + 5
Now the given polynomial can be rewritten as
So the variable is x
Now the the highest power of its variable that appears with nonzero coefficient = 3
So the degree of the polynomial = 3
We know that leading term is the term with the highest power, and its coefficient is called the leading coefficient.
So the leading term = - 2x³
Leading coefficient = - 2
But Pat wrote down -4 for the leading coefficient and 1 for the degree
Hence Pat's answer was wrong
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
1. Write the degree of the polynomial :
4z3 – 3z5 + 2z4 + z + 1
https://brainly.in/question/7735375
2. Find the degree of 2020?
https://brainly.in/question/25939171