Given:
[tex](2x-1)(4x^2+3)[/tex]
The degree of the polynomial is the highest exponent in a polynomial.
To find the degree of the polynomial, let's simplify the given expression.
We have:
[tex](2x-1)(4x^2+3)[/tex]
Apply distributive property:
[tex]\begin{gathered} 2x(4x^2)+2x(3)-1(4x^2)-1(3) \\ \\ 8x^3+6x-4x^2-3 \\ \\ 8x^3-4x^2+6x-3 \end{gathered}[/tex]
The highest exponent of the polynomial is 3.
Therefore, the polynomial is a third degree polynomial.
The leading coefficient is the coefficient of the highest exponent which is also the first term.
Therefore, the leading coefficient is 8
ANSWER:
Degree of the polynomial = 3
Leading coefficient = 8
