Find p(0), p(1) and p(2) for each of the following polynomials.
p(t) = (t - 1) (t + 1)

Verify whether the values of x given in each case are the zeroes of the polynomial or not?

p(x) = (x - 1)(x + 2); x = -1, -2

Which of the following expressions are polynomials in one variable and which are not? Give reasons for your answer.

(i) 3x² - 2x + 5

(ii) x² + √2

(iii) p² - 3p + q

(iv)

Find p(0), p(1) and p(2) for each of the following polynomials.

p(x) = x² - x +1

Find p(0), p(1) and p(2) for each of the following polynomials.

p(x) = x² - 3x + 2

Verify whether the values of x given in each case are the zeroes of the polynomial or not?

p(x) = 2x + 1;

Find the degree of each of the polynomials given below

(i) x⁵ - x⁴ + 3

(ii) x² + x - 5

(iii) 5

(iv) 3x⁶ + 6y³ - 7

(v) 4 - y²

(vi) 5t - √3

Write whether the following statements are True or False. Justify your answer

(i) A binomial can have at the most two terms

(ii) Every polynomial is a binomial

(iii) A binomial may have degree 3

(iv) Degree of zero polynomial is zero

(v) The degree of x² + 2xy + y² is 2

(vi) πr² is monomial.

Classify the following as linear, quadratic and cubic polynomials

(i) 5x² + x - 7 (ii) x - x³

(iii) x² + x + 4 (iv) x - 1

(v) 3p (vi) πr²

Give one example each of a monomial and trinomial of degree 10.

Verify whether the values of x given in each case are the zeroes of the polynomial or not?

p(x) = ax + b ;