One of the zeroes of the polynomial 2x2 + 7x –4 is(A) 2(B) ½(C) �

1.	One of the zeroes of the polynomial 2x2 + 7x –4 is(A) 2(B) ½(C) – ½(D) –2
Answer» (B) ½ Explanation: Zero of the polynomial ⇒ p(x) = 0 p(x) = 0 2x² + 7x – 4 = 0 2x² – 1x + 8x – 4 = 0 x(2x – 1) + 4(2x – 1) = 0 (x + 4)(2x – 1) = 0 Consider, x + 4 x + 4 = 0 x = – 4 Consider, 2x – 1 2x – 1 = 0 2x = 1 x = ½ Hence, option B is the correct answer

One of the zeroes of the polynomial 2x2 + 7x –4 is(A) 2(B) ½(C) – ½(D) –2

Answer»

(B) ½

Explanation:

Zero of the polynomial ⇒ p(x) = 0

p(x) = 0

2x² + 7x – 4 = 0

2x² – 1x + 8x – 4 = 0

x(2x – 1) + 4(2x – 1) = 0

(x + 4)(2x – 1) = 0

Consider, x + 4

x + 4 = 0

x = – 4

Consider, 2x – 1

2x – 1 = 0

2x = 1

x = ½

Hence, option B is the correct answer