Question

Underground water sump is popular in India. It is usually used for large water sump storage and can be built cheaply using cement-like materials. Underground water sump are typically chosen by people who want to save space. The water in the underground sump is not affected by extreme weather conditions. The underground sump maintain cool temperature in both winter and summer.
A builder wantsto build a sump tostore water in an apartment. The volume of the cuboidal sump is given as P(x)= (x3 + x2-4x-4)cubic meter.
(i)The degree of the polynomial P(x) is
(a)4 (b)6 (c)3 (d)8
(ii)If x=4 meter, what is the volume of the sump?
(a)30m3 (b) 20m3 (c)15m3 (d) 60m3
(iii)Which of the following cannot be the zero of the polynomialP(x)?
(a)x = -1(b) x = 2(c) x = -2(d)x = 1

Answer 1

1) a] Answer: Degree of 4 is 0

b] √6 has zero degree. As it's not a polynomial at all.

c] The degree of the polynomial p(x)=3 is 0.

d) The degree of the polynomial p(x)=3 is 0.

2)a] 2/15m^3

b]5m^2

c] 4/15m^2

d] 15 m^2

3)Zeros of a polynomial can be defined as the points where the polynomial becomes zero on the whole. A polynomial having value zero (0) is called zero polynomial of the form p(x) = 0. Any value of x can be a zero of a zero polynomial.

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