m-Z-What-is-the-leading-coefficient-of-the-polynomial-P-x-4x-13-m-5-6x-25-2m-4x-13-5x-10-4-

Question Number 176846 by Ar Brandon last updated on 27/Sep/22

m \in Z

What is the leading coefficient of the polynomial

P (x) = 4 x^{\frac{13}{m - 5}} - 6 x^{25 - 2 m} + 4 x^{13} + 5 x^{10} - 4 ?

Answered by mr W last updated on 27/Sep/22

\frac{13}{m - 5} = + i n t e g e r \Rightarrow m = 18 o r 6

25 - 2 m = + i n t e g e r \Rightarrow m = 6

P (x) = 4 x^{13} - 6 x^{13} + 4 x^{13} + 5 x^{10} - 4

P (x) = 2 x^{13} + 5 x^{10} - 4

\Rightarrow l e a d i n g c o e f f . i s 2 .

Commented by Ar Brandon last updated on 28/Sep/22

Thanks Sir