Question

11.Find the quadratic polynomial whose zeroes are

a) -1/3,8 b) -5,-7 c) -√5,√5​

Answer 1

Step-by-step explanation:

a)

formula

x²- (sum of roots) x + (product of roots) = 0

sum = [-1/3+8] = -25/8

product = (-1/3)(8) = -8/3

x² -(-25/3)x - 8/3 = 0

(×3)

3x² +25x-8 = 0 is the required eqn

b)

x²- (sum of roots) x + (product of roots) = 0

sum = -5+(-7) = -12

product = (-5)(-7) = 35

x² +12x+35 = 0 is the required eqn

c)

x²- (sum of roots) x + (product of roots) = 0

sum = -√ 5 + √5 = 0

product = (-√5)(√5) = -5

x² -(0)x -5 = 0

x² -5 = 0 is the required eqn