Zeroes of the polynomial 9x2 – 12x + 4 are A) 2/3 , 2/3B) 3/2 , -3/

1.	Zeroes of the polynomial 9x2 – 12x + 4 are A) 2/3 , 2/3B) 3/2 , -3/2C) -3/2 , -3/2 D) (3,2)
Answer» Correct option is (A) 2/3, 2/3 Let p(x) = \(9x^2-12x+4\) p(x) = 0 gives \(9x^2-12x+4=0\) \(\Rightarrow\) \((3x)^2-2\times3x\times2+2^2=0\) \(\Rightarrow\) \((3x-2)^2=0\) \(\Rightarrow\) 3x - 2 = 0 or 3x - 2 = 0 \(\Rightarrow\) x = \(\frac{2}{3}\) or x = \(\frac{2}{3}\) \(\therefore\) \(\frac{2}{3}\;and\;\frac{2}{3}\) are zeroes of polynomial \(9x^2-12x+4.\) Correct option is A) 2/3 , 2/3

Zeroes of the polynomial 9x2 – 12x + 4 are A) 2/3 , 2/3B) 3/2 , -3/2C) -3/2 , -3/2 D) (3,2)

Answer»

Correct option is (A) 2/3, 2/3

Let p(x) = \(9x^2-12x+4\)

p(x) = 0 gives \(9x^2-12x+4=0\)

\(\Rightarrow\) \((3x)^2-2\times3x\times2+2^2=0\)

\(\Rightarrow\) \((3x-2)^2=0\)

\(\Rightarrow\) 3x - 2 = 0 or 3x - 2 = 0

\(\Rightarrow\) x = \(\frac{2}{3}\) or x = \(\frac{2}{3}\)

\(\therefore\) \(\frac{2}{3}\;and\;\frac{2}{3}\) are zeroes of polynomial \(9x^2-12x+4.\)

Correct option is A) 2/3 , 2/3