evaluate the expression when ( x = - 4 ).\n( x ^ { 2 } + 6 x + 3 )

evaluate the expression when ( x = - 4 ).\n( x ^ { 2 } + 6 x + 3 )

evaluate the expression when ( x = - 4 ).\n( x ^ { 2 } + 6 x + 3 )

Answer

Explanation:

Step1: Substitute (x = - 4) into the expression

[ \begin{align*} &(-4)^2+6\times(-4)+3\ \end{align*} ]

Step2: Calculate each term

Calculate ((-4)^2): ((-4)^2=(-4)\times(-4) = 16)
Calculate (6\times(-4)): (6\times(-4)=-24) The expression becomes (16-24 + 3)

Step3: Perform addition and subtraction

[ \begin{align*} &16-24+3\ =&(16 + 3)-24\ =&19-24\ =&-5 \end{align*} ]

Answer:

(-5)