Find the number of zeroes of the given polynomials. And also find their values.
(i) p(x) = 2x + 1
(ii) q(y) = y² - 1
(iii) r(z) = z³
try to solve without plotting graph
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✰ Qᴜēsᴛíõñ :-
Find the number of zeroes of the given polynomials. And also find their values.
(i) p(x) = 2x + 1
(ii) q(y) = y² - 1
(iii) r(z) = z³
try to solve without plotting graph
✪ Söʟúᴛîøɴ :-
(i) p(x) = 2x + 1 is a linear polynomial. It has only one zero
To find zeroes,
➙ Let p(x) = 0
➙ So, 2x + 1 = 0
Hence x = -1/2
⛬ The zero of the polynomial is -1/2
(ii) q(y) = y² - 1 is a quadratic polynomial. It has almost two zeroes.
To find zeroes, let q(y) = 0
➙ y² - 1 = 0
➙ (y + 1) (y - 1) = 0
➙ y = -1 or y = 1
⛬ The zeroes of the polynomial are -1 and 1.
(iii) r(z) = z³ is a cubic polynomial. It has almost 3 zeroes
Let r(z) = 0
➙ z³ = 0
➙ z = 0
⛬ The zero of the polynomial is 0
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