Answer:
[tex] \huge{ \fbox{ \sf{ - 3}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \text{Given}} : [/tex]
[tex] \longrightarrow{ \sf{ \: x = - 4}}[/tex]
[tex] \underline{ \text{To \: find}} : \: \sf{Value \: of \: the \: given \: expression}[/tex]
[tex] \sf{ {x}^{2} + 3x - 7}[/tex]
[tex] \text{Step \: 1}[/tex] : Plug the value of x
[tex] \sf{ { \mapsto ( - 4)}^{2} + 3 * \: ( - 4) \: - 7}[/tex]
[tex] \text{Step \: 2}[/tex] : Evaluate the power
[tex] \underline{ \text{Remember!}}[/tex] : Multiplying a negative integer by a negative integers gives a positive integer.
[tex] \mapsto{ \sf{16 + 3 \: * \: ( - 4) - 7}}[/tex]
[tex] \text{Step \: 3}[/tex] : Multiply : 3 by -4
[tex] \underline{ \sf{Remember!}}[/tex] : Multiplying positive integer by any negative integer gives a negative integer.
[tex] \mapsto{ \sf{16 + ( - 12) - 7}}[/tex]
[tex] \underline{ \text{Remember!}}[/tex] : ( + ) * ( - ) = ( - )
[tex] \mapsto{ \sf{16 - 12 - 7}}[/tex]
[tex] \text{Step \: 4}[/tex] : Subtract 12 from 16
[tex] \mapsto{ \sf{4 - 7}}[/tex]
[tex] \text{Step \: 5}[/tex] : Subtract 7 from 4
[tex] \underline{ \text{Remember!}}[/tex] : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \boxed{ \sf{ - 3}}}[/tex]
Remember to follow PEMDAS
Parentheses , Exponents , Multiplication , Division , Addition , Subtraction
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
