Question

find the quadratic polynomial the sum of whose zeroes is 8 and their product is 12 . hence find the zeroes of the polynomial.​

Answer 1

xsquare-(8)x+(12)

xsquare-8x+12

Answer 2

Question

find the quadratic polynomial the sum of whose zeroes is 8 and their product is 12 . hence find the zeroes of the polynomial.

$\mathfrak{solution:}$

Step-by-step explanation:

given that the sum of zeroes is 8. we know that sum = -b/a

from here we can say that b = -8 and a = 1.

and product is 12= c/a therefore we can conclude that c=12 and we already know from the sum that a = 1

Formation of Quadratic Equation:

$ax^{2} + bx + c = 0\\ here,\\a = 1\\b = -8\\c = 12\\therefore,\\x^{2} + [-8]x + 12 = 0\\x^{2} -8x + 12 = 0$

hence, this is required equation