Question

The zeros of the polynomial x²-√2x -12 are
(A) √2, -√2
(B) 3√2, -2√2
(C) -3√2, 2√2
(D) 3√2, 2√2
 

Answer 1

Answer:(B) 3√2, -2√2

We have,
f(x) = x²-√2x -12
Now, put f(x) = 0
x²-√2x –12 = 0
x² - 3√2x + 2√2x – 12 = 0
x(x - 3√2) + 2√2(x - 3√2) = 0
(x - 3√2)(x + 2√2) = 0
x - 3√2 = 0 or x + 2√2 = 0
x = 3√2 or x = -2√2
So, the zeros of given polynomial are 3√2 and -2√2.