Question

(b) Find the degree of the product (x-2) (x2+4)
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Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{(x-2)(x^2+4)}$

$\underline{\textsf{To find:}}$

$\textsf{The degree of}\;\mathsf{(x-2)(x^2+4)}$

$\underline{\textsf{Solution:}}$

$\underline{\textsf{Degree of a polynomial:}}$

$\boxed{\begin{minipage}{8cm} \textsf{The degree of a polynomial is the highest power of the}\\\textsf{variable occur in it} \end{minipage}}$

$\textsf{Consider,}$

$\mathsf{(x-2)(x^2+4)}$

$\textsf{Multiplying term by term, we get}$

$\mathsf{=x^3+4x-2x^2-8}$

$\mathsf{=x^3-2x^2+4x-8}$

$\textsf{Here, highest power of the variable is 3}$

$\therefore\textsf{Degree of the given polynomial is 3}$