Question

if -2and7 are the zeroes of the polynomial find the polynomial.(reasoning and proof)​

Answer 1

Answer:

$the \: equation \: is \: \\ \: {x}^{2} - ( - 2 + 7)x + ( - 2 \times 7) = 0 \\ {x}^{2} - 5x - 14 = 0$

proof :

put the value x= -2

4 + 10 - 14 = 0 = RHS

put the value x=7

49 -35-14 =0= RHS

Answer 2

Answer:

x2+2x+7

Step-by-step explanation:

sum of zeroes = -2

alpha + beta = -b/a = -2

therefore b=2 and a=1

product of zeroes= 7

alpha * beta = c/a = 7

therefore c=7 and a=1

so the polynomial will be X2+2x+7