Question

verify that

(i) 7 is the zero of the polynomial p(y) = 7-y

(ii)2/3 is the zero of the polynomial p(x) = 3x - 2




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Answer 1

Verify that -

(i) 7 is the zero of the polynomial p(y) = 7- y

(ii)2/3 is the zero of the polynomial p(x) = 3x - 2

Solutions:

1. 7 is the zero of the polynomial p(y) = 7- y

First, Equate the Whole Polynomial to 0, i.e, p (y) = 0 => -y + 7 = 0 => -y = -7 => y = 7

Substituting y = 7 in p (y),

7 - 7 = 0

Therefore, the First is Verified & 7 is the Zero of the Polynomial p (y)

2. 2/3 is the zero of the polynomial p(x) = 3x - 2

First, Equate the Whole Polynomial to 0, i.e, p (x) = 0 => 3x - 2 = 0 => 3x = 2 => x = 2/3

Substituting x = 2/3 in p (x),

$3 \times \frac{2}{3} - 2 = 0 \\ 2 - 2 = 0 \\ 0 - 0$

Therefore, the Second is Verified & 2/3 is the Zero of the Polynomial p (x)

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Answer 2

Answer:

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