Aditya saw a creeper on the wall of his grandmother's house which was in the shape as shown in
the figure. Answer the following questions, considered that creeper has a mathematical shape.
How many zeroes does the polynomial (shape of the creeper) have?
(a) 0 (6) 1() 2 (d) 3
(ii) The zeroes of the polynomial are
(a) 2. -3 (b) -2,3 (C) 2.1 (d) -3,1
(ii) Name the shape represents a polynomial.
(a) Linear (b) Cubic (c) Quadratic (d) None of these
v
(iv) The expression of the polynomial is
(a) x-x-6(b)x2+x-6 (0)x-x+6 (d) x-x+x+6
Answers
Given : Aditya saw a creeper on the wall of his grandmother's house which was in the shape as shown in the figure.
To Find : How many zeroes does the polynomial (shape of the creeper) have?
Solution:
polynomial (shape of the creeper) cuts the x -axis two times
Hence polynomial (shape of the creeper) have 2 Zeroes
cut x axis at 2 and - 3
Hence zeroes are 2 , - 3
Polynomial = k (x - 2)(x -(-3))
= k (x - 2)(x + 3)
= k(x² + x - 6)
x = 0 y = - 6
=> -6 = k ( 0 + 0 - 6)
=> k = 1
x² + x - 6 is the polynomial
shape represents a Quadratic polynomial
x² + x - 6 is the expansion
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