Question

write the degree of the polynomial (x²+3x) (x-2)​

Answer 1

$\huge\texttt{Solution:}$

$( {x}^{2} + 3x)(x - 2) \\ {x}^{2} (x - 2) + 3x(x - 2) \\ {x}^{3} - 2 {x}^{2} + 3 {x}^{2} - 6x \\ {x}^{3} + {x}^{2} - 6x$

So the degree of polynomial is 3

So, it is cubic polynomial

Answer 2

(x²+3x)(x-2)

= x³-2x²+3x²-6x

= x³+x²-6x

The highest power of the variable is 3. So, the degree of the polynomial is 3.