Question

Q. Find the zero of the quadratic polynomial x²+7 +12,and verify the relation between zeros and it's coefficient​

Answer 1

I guess it should be x^2 + 7x + 12. So, taking that

Answer:

x = -4 or x = -3

Step-by-step explanation:

x^2 + 7x + 12 = 0

x^2 + 4x + 3x + 12 = 0

x(x + 4) + 3(x + 4) = 0

(x + 3) (x + 4) = 0

x + 3 = 0 / x + 4 = 0

x = -3 / x = -4

Hence, the zeros of the quadratic polynomial are -3 and -4.

From the polynomial we find that,

a = 1, b = 7, c = 12

• Sum of zeroes :

sum of zeroes = -b /a

-3 + (-4) = -7/1

-7 = -7

Hence, verified

• Product of zeroes :

product of zeroes = c/a

-3 (-4) = 12/1

12 = 12

Hence, verified