Find the zeros of the quadratic polynomial x2 – 5x – 14. A) (+7,-

1.	Find the zeros of the quadratic polynomial x2 – 5x – 14. A) (+7,-2) B) (-7,-2) C) (-7, +2) D) (7, 2)
Answer» 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. Correct option is A) (+7,-2)

Find the zeros of the quadratic polynomial x2 – 5x – 14. A) (+7,-2) B) (-7,-2) C) (-7, +2) D) (7, 2)

Answer»

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.

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