p(x) = x² - 9  q(x) = 6x² + 7x - 2
p(x) x q(x) = (x² - 9) (6x² + 7x - 2)
= 6x⁴ + 7x³ - 2x² - 54x² - 63x + 18
= 6x⁴ + 7x³ - 56x² - 63x + 18
The degree of the polynomial 4

h(z) - f(z) = z⁵ - 6z⁴ + z - (6z² + 10z -7)
= z⁵ -6z⁴ + z - 6z² - 10z + 7
= z⁵ -6z⁴ -6z² + z - 10z + 7
= z⁵– 6z⁴– 6z²– 9z+ 7
The degree of the polynomial is 5

f(y) -g(y) = 6y² - 7y + 2 - (7y + y³)
= 6y² - 7y + 2 -(7y -y³)
= 6y² -7y + 2 - 7y - y³
= -y³ + 6y² - 7y - 7y + 2
= - y³ + 6y² - 14y + 2
The degree of the polynomial is 3

f(x) = 16x⁴- 5x² +9;  g(x) -6x³+7x-15
f(x) + g(x) = 16x⁴ - 5x² + 9 - 6x³ + 7x - 15
= 16x⁴ - 6x³ -5x² + 7x +9 - 15
=16x⁴ - 6x³ -5x² + 7x - 6
The degree of the polynomial is 4

p(x) = 6x² - 7x + 2 ; q(x) = 6x³ - 7x + 15
p(x) + q(x) = 6x² - 7x + 2 +6x³ - 7x + 15
= 6x³ + 6x²-7x + 2+ 15
= 6x³+6x²–14x+17
The degree of the polynomial is 3

The standrad form \(\sqrt { 7 } { x }^{ 3 }+{ 6x }^{ 2 }+x-9\) or \(-9+x+{ 6 }x^{ 2 }+\sqrt { 7 } { x }^{ 3 }\)

The degree of the polynomial is 6

x³ (x² +x) = x⁵ + x⁴ The degree of the polynomial 5

We see that p(x) – q(x) is also a polynomial. Hence the subtraction of any two polynomials is also a polynomial.

Given polynomial is 6ab⁸+5a²b³c²-7ab+4b²c+2 
Degree of each of the terms is given below.
6ab⁸ has degree (1+8) = 9
5a²b³c² has degree (2+3+2) = 7
7ab has degree (1+1) = 2
4b²c has degree (2+1) = 3
The constant term 2 is always regarded as having degree Zero.
The degree of the polynomial  6ab⁸+ 5a²b³c²-7ab + 4b²c+2
= the largest exponent in the polynomial
= 9