Question

evaluate the polynomial function for the given values of the variable.\
\\( p(x) = 6x^3 + 4x^2 - 3x - 5 \\); \\( p(-2) \\), \\( p(0) \\), \\( p(4) \\), and \\( p\left(\frac{1}{2}\
ight) \\)\
\\( p(-2) = \square \\) (simplify your answer. type an integer, fraction, or mixed numeral.)

Explanation:

Step1: Substitute $x=-2$ into $p(x)$

$p(-2)=6(-2)^3 + 4(-2)^2 - 3(-2) - 5$

Step2: Calculate each term

$6(-8) + 4(4) + 6 - 5$

Step3: Compute arithmetic operations

$-48 + 16 + 6 - 5$

Step4: Simplify the expression

$-48+16=-32; -32+6=-26; -26-5=-31$

Answer:

$-31$