Find the degree of the following polynomials
`5p^4-7q^2 pr -6p^2 q`

Find the degrees of the following polynomials 7p^2qr+2pq^2+3qr^2+4rp^2

Find the sum of the following algebraic expressions : 4p + 3q + 5r , 6p - 4q - r , 2p + q + 7r

Factorize each of the following quadratic polynomials by using the method of completing the square: (1) p^2+6p+8 (2) q^2-10 q+21 (3) p^2+6p-16

p(x)=6x^(2)+7x-2 q(x)=2x^(2)+7x-1 Two polynomial functions p(x) and q(x) are defind above. Which of the following polynomial functions is divisible by 2x+5?

Find the zero of the polynomial : (i) p(x)=x-3 " " (ii) q(x)=3x-4 " " (iii) p(x)=4x-7 " " (iv) q(x)=px+q, p ne 0 (v)p(x)=4x " " (vi) p(x)=(3)/(2)x-1

Write all the terms of each of the following algebraic expressions : -7pq^(4)-9pq^(2)q+(3p)/(q)-(2)/(p)+11p+13q-3

Identify which of the following expressions are polynomials. If so, write their degrees. 6p^(4) -p^(3)q^(2)+pq^(3)+q^(4)

Factorise the following expressions. (i) p^2 + 6p +8 (ii) q^2-10q+21 (iii) p^2+6p-16

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category? p q r (ii) p^2q+p q^2 (iii) 2p+2q

Find the values of p and q for which the following system of equations has infinite number of solutions: 2x+3y=7,\ \ \ \ (p+q)x+(2p-q)y=21