Question

Find the go degree of the polynomial
(x+1)(x square+x+4+1)​

Answer 1

Polynomial: It is an expression formed by two or more algebraic terms which contain different powers of a variable.

Degree of a polynomial: The highest power of variable in a polynomial.

Answer:

3

Solution:

$(x+1)(x^{2} + x + 4 + 1) \\ = (x+1)(x^{2} + x + 5) \\ = x^{3} + x^{2} + 5x + x^{2} + x + 5 \\ = x^{3} + 2x^{2} + 6x + 5$

Here,

The highest power in the polynomial is 3

Therefore, the degree of polynomial $(x+1)(x^{2} + x + 4 + 1)$ is 3.