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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 |
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Answer» 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 |
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