Question

Find the quadratic polynomial whose zeroes are 2by3 and -1by4 and also verify the relation

Answer 1

Step-by-step explanation:

Let  α = 2/3 and β = −1/4 

sum of zeros α + β  =2/3 + (‐1/4) 8‐3/12 =5/12

product of zeros α β  =2/3×(‐1)/4 =‐2/12 = ‐ 1/6

required polynomial =x²‐ (α + β) x+α β

x²‐5/12x+(‐1)/6

x²‐5/12x‐1/6

sum of zeroes 5/12

product od zeroes ‐1/4

hope you understand this polynomial