Question

What is the degree of polynomial (x3 + 7) (3 – x
2 ) ?​

Answer 1

Step-by-step explanation:

= (3x + 7) (3 - 2x)

= 3x (3 - 2x) + 7 (3 - 2x)

= 9x - 6x^2 + 21 - 14x

= -6x^2 + (9x - 14x) +21

= -6x^2 - 5x + 21

Therefore, the term which has highest power is -6x^2 . So the degree of this polynomial is 2.

Answer 2

Answer:

Given, polynomial is (x3 + 7)(3 - x3 )

Now, (x3 + 7)(3 - x3 ) = x3 (3 - x3 ) - 7(3 - x3 )

= 3x3 - x6 - 21 + 7x3

= -x6 + 10x3 - 21

Hence, the degree of (x3 + 7)(3 - x3 ) is 6