Give one word to describe the following:
a) It takes values from a given set of values.
b) It is an algebraic expression where the only operation is multiplication.
c) It is the algebraic sum of monomials.
d) It remains invariant irrespective of time and place.
e) It is the sum of exponents of all variables present in a monomial.
f) It is the degree of the highest degree monomial in a polynomial.
VI. How do they differ?
a) Algebraic sum and sum
b) Absolute constant and relative constant
c) Variable and parameter
d) Monomial and polynomial
VII. Construct monomials by assigning suitable variables:
a) The area of a rectangle
b) The volume of a cuboid
c) The area of a square
d) The volume of a cube.
VIII.State the conditions under which
a) polynomial ax + by + c is linear over real numbers
b) A point will lie on x–axis
c) A point will lie on y–axis
d) A value will be a zero of a polynomial
IX. Match appropriate implications for statements in A with statements in B
A
a) The geometrical meaning of x–coordinate of a point in a plane
b) A point is at a distance of 5 units from the x–axis
c) Set of all points in a plane with reference to the origin
d) Zero of the polynomial ax + b
e) A point fully studied through a pair of coordinates
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