Question

The degree of product of 1+x^3 and 9-x^2 is

Answer 1

(1 + x^3)*(9 - x^2)

= 1(9 - x^2) + x^3(9 - x^2)

= 9 - x^2 + 9x^3 - x^5

Degree of the given problem is “5”.

Note:

Degree of a polynomial is identified by the highest power available in the polynomial.

In the above problem after multiplying the given polynomials, we get the highest power to be 5. Therefore degree is “5”.

Answer 2

Answer:

$(1 + {x}^{3}) \times (9 - {x}^{2} )$

$1(9 - {x}^{2} ) + {x}^{3} (9 - {x}^{2} ) \\ = 9 - {x}^{2} + 9 - {x}^{3} - {x}^{5} \\ so \: the \: degree \: is \: 5$