SOLUTION: list the degree of each term; (b) determine the leading term and the leading coefficient; and (c) determine the degree of the polynomial.
9x<sup>4</sup> + x<sup>2</sup> + x<sup
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-> SOLUTION: list the degree of each term; (b) determine the leading term and the leading coefficient; and (c) determine the degree of the polynomial.
9x<sup>4</sup> + x<sup>2</sup> + x<sup
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Question 370058: list the degree of each term; (b) determine the leading term and the leading coefficient; and (c) determine the degree of the polynomial.
9x4 + x2 + x7 - 12
Can you walk me through this? Found 2 solutions by Fombitz, Edwin McCravy:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
Arrange the polynomial in descending order of powers of .
Degree is the power of . -leading term, degree is 7, coefficient is 1. -second term, degree is 4, coefficient is 9. -third term, degree is 2, coefficient is 1. -final term, degree is 0, coefficient is -12.
The polynomial is the highest degree of the terms, degree is 7.
9x4 + x2 + x7 - 12
list the degree of each term;
9x4 is the first term. Its degree is 4 because that's its exponent of the
variable x.
x2 is the second term. Its degree is 2 because that's its exponent of the
variable x.
x7 is the third term. Its degree is 7 because that's its exponent of the
variable x.
-12 is the fourth term. Its degree is 0 because, since x0 = 1 and -12
therefore equals to -12x0, -12 has an understoon exponent of the variable x.
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(b) determine the leading term and the leading coefficient;
The leading term is the one which has the largest exponent of the variable x.
This is the third term x7. The leading coefficient is the coefficient of the
leading term. Therefore the leading coefficient is the understood 1
coefficient of the leading term x7.
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(c) determine the degree of the polynomial.
The degree of a polynomial is the same as the degree of its leading term.
Therefore the degree of the entire polynomial is the same as the degree of
the leading term x7, which is 7.
Edwin
