Question

If 1 and -1 are the zeroes of the plolynomial Lx4 + Mx cube +Nx square + Rx + P=0 show that L+N+P=M+R=0

Answer 1

Step-by-step explanation:

if 1 is the zero of this polynomial then

put 1 in place of x

L1^4+M1^3+N1^2+R1+P=0

L^4+M^3+N^2+R+P=0-----1eq.

If -1 is a zero of this polynomial then

put -1 in place of x

L(-1)^4+M(-1)^3+N(-1)^2+R(-1)+P=0

L^4-M^3+N^2-R+P=0--------2eq.

By combining both equations you get

L+N+P=M+R=0

Answer 2

Answer:

Step-by-step explanation:

Refer to the photos given below