Question

Whether the following are zeroes of polynomial indicated against than, verify: (3m) i) P (x) = lm + m , x = -m/l ii) P (x) = 3x2 - 1 , x = -1/√3 iii) P (x) = 2x + 1 , x = l/2.

Answer 1

(i) p(0)=3x+1=0

x=−13 correct

(ii) p(0)=5x−π=0

x=π5 incorrect

(iii) p(0)=x2−1=0

x2=1

x=−1,1 correct

(iv) p(0)=(x+1)(x−2)=0

x=−1,2 correct

(v) p(x)=x2=0

x=0correct

(vi)p(0)=lx+m=0

x=−ml correct

(vii) p(0)=3x2−1

x=±13−−√ incorrect

(viii) p(0)=2x+1=0

x=−12 incorrect

Answer 2

Answer:

(ii) If zeroes of a quadratic polynomial p( x) are reciprocal of each other, then ... If α and β are the zeroes of the polynomial x2 – 5x + m such that α – β = 1, find m.