Q1 of 86 Page 36

Find the value of the polynomial 4x2 - 5x + 3, when

(i) x = 0 (ii) x = -1


(iii) x = 2 (iv)

(i) p(x) = 4x2 – 5x + 3


⇒ p(0) = 4(0)2 – 5(0) + 3


⇒ p(0) = 0– 0 + 3


⇒ p(0) = 3


(ii) p(x) = 4x2 – 5x + 3


⇒ p(-1) = 4(-1)2 – 5(-1) + 3


⇒ p(-1) = 4 × 1– (-5) + 3


⇒ p(-1) = 4 +5 + 3


⇒ p(-1) = 12


(iii) p(x) = 4x2 – 5x + 3


⇒ p(2) = 4(2)2 – 5(2) + 3


⇒ p(2) = 4 × 4– 10 + 3


⇒ p(2) = 16– 10 + 3


⇒ p(2) = 9


(iv) p(x) = 4x2 – 5x + 3







More from this chapter

All 86 →
5

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.

 6

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

 2

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

p(x) = x2 - x +1

 2

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

p(y) = 2 + y + 2y2 - y3