Let us write which are the polynomials in the following algebraic expressions. Let us write the degree of each of the polynomials.
(i) 2x6 – 4x5 + 7x2 + 3
(ii) x–2 + 2x–1 + 4
(v) x51 – 1
(x) y3 + 4
In the following polynomials, let us write which are first degree polynomials in one variable, which are second degree polynomials in one variable and which are third degree polynomials in one variable.
(i) 2x + 17
(ii)x3 + x2 + x+ 1
(iii) –3 + 2y2 + 5xy
(iv)5 – x – x3
Let us write the co-efficient of the following polynomials according to the guidelines:
(i) The co-efficient of x3 in 5x3 – 13x2 + 2
(ii) The co-efficient of x in x2 – x + 2
(iii) The co-efficient of x2 in 8x – 19
(iv) The co-efficient of x0 in
I write the degree of each of the following polynomials:
(i) x4 + 2x3 + x2 + x
(ii) 7x – 5
(iv) 2 – y – y3
(vi) 5 – x2 + x19
I write two separate binomials in one variable whose degrees are 17.
I write two separate monomials in one variable whose degrees are 4.
I write two separate trinomials in one variable whose degrees are 3.
In the following algebraic expressions, which are polynomials in one variable, which are polynomials in two variables and which are not polynomials —Let us write them.
(i) x2 + 3x + 2
(ii) x2 + y2 + a2
(iii) y2 – 4ax
(iv) x + y + 2
(v) x8 + y4 + x5y9