Question

What is the value of x2+3x-7 when x = -4?

Answer 1

`\huge{ \fbox{ \sf{ - 3}}}`

Explanation:

`\underline{ \text{Given}} :`

`\longrightarrow{ \sf{ \: x = - 4}}`

`\underline{ \text{To \: find}} : \: \sf{Value \: of \: the \: given \: expression}`

`\sf{ {x}^(2) + 3x - 7}`

`\text{Step \: 1}` : Plug the value of x

`\sf{ { \mapsto ( - 4)}^(2) + 3 * \: ( - 4) \: - 7}`

`\text{Step \: 2}` : Evaluate the power

`\underline{ \text{Remember!}}` : Multiplying a negative integer by a negative integers gives a positive integer.

`\mapsto{ \sf{16 + 3 \: * \: ( - 4) - 7}}`

`\text{Step \: 3}` : Multiply : 3 by -4

`\underline{ \sf{Remember!}}` : Multiplying positive integer by any negative integer gives a negative integer.

`\mapsto{ \sf{16 + ( - 12) - 7}}`

`\underline{ \text{Remember!}}` : ( + ) * ( - ) = ( - )

`\mapsto{ \sf{16 - 12 - 7}}`

`\text{Step \: 4}` : Subtract 12 from 16

`\mapsto{ \sf{4 - 7}}`

`\text{Step \: 5}` : Subtract 7 from 4

`\underline{ \text{Remember!}}` : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

`\mapsto{ \boxed{ \sf{ - 3}}}`

Remember to follow PEMDAS

Parentheses , Exponents , Multiplication , Division , Addition , Subtraction

Hope I helped!

Best regards! :D

~
`\text{TheAnimeGirl}`