NOMIALS
TC
+ X
EXERCISE 4.1
1. Which of the following expressions are polynomials in one variable and which are
not? State reasons for your answer.
2
(1) 4x2-3x +7 (ii) y2 + 2 (ii) 3JF + 2
(iv) y +
y у
(v) x + y2 + po
2. Write the coefficients of x2 in each of the following:
(1) 2 + x2 + x (i) 2 - x2 + x2 (ii)
(iv) V2x-1
2
3. Give one example each of a binomial of degree 35, and of a monomial of degree 10
4. Write the degree of each of the following polynomials:
(1) 5x3 + 4x2 + 7x
(ii) 4- y
(ii) 51-5
(iv) 3
5. Classify the following as linear, quadratic and cubic polynomials:
(1 x²+x
(ii) x - x3
(i) y + y2 +4
(v) 3t
(vi)
(iv) 1+x
(vii) 7x2
4.3 Zeroes of a Polynomial
Consider the polynomial p(x) = 5x3 - 2x2 + 3x - 2.
If we replace x by 1 everywhere in p(x), we get
p(1) = 5 x (1): - 2 x (1)2 + 3 (1) - 2
-5-2+3-2
4
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