Question

If a(alpha) and b(beta) are zeroes of a polynomial x² - x - 12, then the value of (a+b) is​

Answer 1

Answer:

a+b=-coefficient of x/ coefficient of x^2

Answer 2

Answer:

(a + b) = 1

Step-by-step explanation:

Let, F(x) = x² - x -12

For zeroes F(x) = 0

x² - x - 12 = 0

x² -(4 - 3)x - 12 = 0

x² - 4x + 3x - 12 = 0

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

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

if, (x - 4) =0

x = 4

if, (x + 3) = 0

x = -3

then, a = 4 and b = -3

a + b = 4 + (-3)

= 4 - 3

= 1