Question

If the sum and product of the zeroes of a quadratic
polynomial are 2 and -15 respectively then write
the quadratic polynomial.​

Answer 1

Answer:

${x}^{2} - 2x - 15 = 0$

Step-by-step explanation:

sum of zeroes= 2

product of zoroes= -15

Now,

${x }^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

${x}^{2} - (2)x + ( - 15) = 0$

${x}^{2} - 2x - 15 = 0$

Answer 2

Step-by-step explanation:

sum of zeroes= 2

product of zoroes= -15

Now,

{x }^{2} - ( \alpha + \beta )x + \alpha \beta = 0x

2

−(α+β)x+αβ=0

{x}^{2} - (2)x + ( - 15) = 0x

2

−(2)x+(−15)=0

{x}^{2} - 2x - 15 = 0x

2

−2x−15=0