The Leading Coefficient Of The Polynomial 5x^10 + 4x^12 + 4x^6 + X^4 2013 X Is, A. 4 , B. 5 , C. 10, D. 12
The leading coefficient of the polynomial 5x^10 + 4x^12 + 4x^6 + x^4 – x is
a. 4
b. 5
c. 10
d. 12
Answer:
The correct answer is letter a. 4 .
Step-by-step explanation:
In the given 5x^10 + 4x^12 + 4x^6 + x^4 – x, we need to find for the leading coefficient. To find the leading coefficient, we should first know the definition of a polynomial to know the right definition of a leading coefficient. Polynomial is in standard form if its terms are written in descending order of exponents from left to right and so, the given should be arrange in this order 4x^12 + 5x^10 + 4x^6 + x^4 – x. Next, leading coefficient is defined as the coefficient of the term with the highest degree. So, in the given 4x^12 + 5x^10 + 4x^6 + x^4 – x, the term with the highest degree is 4x^12 therefore, the leading coefficient is 4. Code 10.3.1.2.
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