Question

a quadratic polynomial with the sum and product of its zeroes as -1 and -2 is​

Answer 1

Answer:

k{x+3x-2}

Step-by-step explanation:

given

sum of zeroes alpha + beta = -1

product of zeroes alpha × beta = -2

therefore k { x - ( -1 + -2 ) x +(-1× -2 )}

= k(x+3x-2)

Answer 2

The general formula for a quadratic

polynomial is given by:

Px)=k[x-(sum of zeroes) x+ product

of zeroes

Given that sum of zeroes 2

1

2

Product of zeroes=

Hence,

p()=k-2+})

Taking the LCM

Px)=k(21)

Let pox) = 0

0x2 = k(2x - 4x +1)

0= k(2x6 - 4x + 1)

So, our required quadratic polynomial

with sum of zeroes and product of

zeroes as 2 and , is:

Px)=k(2x-4x +1)