Question

Find p(0), p(1) and p(2) for each of the following polynomials: (i) p(y) = y^2 − y + 1

Answer 1

Solution:-

Given polynomial => $\sf{p(y) = y^{2} - y + 1}$

Putting y => 0

$\sf{p(0) = (0)^{2}-(0) + 1}$

$\sf{= 1}$

Putting y =>1

$\sf{p(1) = (1)^{2} - (1) + 1}$

$\sf{= 1}$

Putting y =>2

$\sf{p(2) = (2)^{2} - (2) + 1}$

$\sf{= 3}$

☆Know more☆

• A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
• An example of a polynomial of a single indeterminate, x, is x2 − 4x + 7.