Question

Find the zeros of the quadratic polynomial x² – 5x – 14. 

A) (+7,-2) 

B) (-7,-2) 

C) (-7, +2) 

D) (7, 2)

Answer 1

Correct option is (A) (+7,-2)

The given quadratic polynomial is

\(P(x)=x^2-5x-14\)

For zeros of polynomial, we have

P(x) = 0

\(\Rightarrow x^2-5x-14=0\)

\(\Rightarrow x^2-7x+2x-14=0\)

\(\Rightarrow\) x (x - 7) + 2 (x - 7) = 0

\(\Rightarrow\) (x - 7)  (x+2) = 0

\(\Rightarrow\) x - 7 = 0 or x+2 = 0

\(\Rightarrow\) x = 7 or x = -2

Hence, the zeros of the quadratic polynomial are 7 & -2.

Answer 2

Correct option is A) (+7,-2)