Find the zeroes of the polynomial in each of the following:(i) p(x) =

1.	Find the zeroes of the polynomial in each of the following:(i) p(x) = x – 4(ii) g(x) = 3 – 6x(iii) q(x) = 2x –7(iv) h(y) = 2y
Answer» (i) p(x) = x – 4 Zero of the polynomial p(x) ⇒ p(x) = 0 P(x) = 0 ⇒ x – 4= 0 ⇒ x = 4 Therefore, the zero of the polynomial is 4. (ii) g(x) = 3 – 6x Zero of the polynomial g(x) ⇒ g(x) = 0 g(x) = 0 ⇒3 – 6x = 0 ⇒ x = 3/6 = ½ Therefore, the zero of the polynomial is ½ (iii) q(x) = 2x –7 Zero of the polynomial q(x) ⇒ q(x) = 0 q(x) = 0 ⇒2x – 7 = 0 ⇒ x = 7/2 Therefore, the zero of the polynomial is 7/2 (iv) h(y) = 2y Zero of the polynomial h(y) ⇒ h(y) = 0 h(y) = 0 ⇒2y =0 ⇒ y = 0 Therefore, the zero of the polynomial is 0

Find the zeroes of the polynomial in each of the following:(i) p(x) = x – 4(ii) g(x) = 3 – 6x(iii) q(x) = 2x –7(iv) h(y) = 2y

Answer»

(i) p(x) = x – 4

Zero of the polynomial p(x) ⇒ p(x) = 0

P(x) = 0

⇒ x – 4= 0

⇒ x = 4

Therefore, the zero of the polynomial is 4.

(ii) g(x) = 3 – 6x

Zero of the polynomial g(x) ⇒ g(x) = 0

g(x) = 0

⇒3 – 6x = 0

⇒ x = 3/6 = ½

Therefore, the zero of the polynomial is ½

(iii) q(x) = 2x –7

Zero of the polynomial q(x) ⇒ q(x) = 0

q(x) = 0

⇒2x – 7 = 0

⇒ x = 7/2

Therefore, the zero of the polynomial is 7/2

(iv) h(y) = 2y

Zero of the polynomial h(y) ⇒ h(y) = 0

h(y) = 0

⇒2y =0

⇒ y = 0

Therefore, the zero of the polynomial is 0