Question

Simplify the polynomial by combining like terms. Make sure your anwser is in standard form: 4x + 7 - 8x (2) + 2x + 5x (2) - 11

Also, keep in mind that the numbers that are in parenthesis are the exponents. ​

Answer 1

• -3x² + 6x - 4

Explanation:

Simplify:

• 4x + 7 - 8x² + 2x + 5x² - 11 =
• x²(-8 + 5) + x(4 + 2) + (7 - 11) =
• -3x² + 6x - 4

Answer 2

`\tt \huge \boxed{ \boxed{\color{silver} { - 3x}^(2) + 6x - 4}}`

Explanation:

to understand this

you need to know about:

• algebra
• algebraic addition subtraction
• PEMDAS

tips and formulas:

• quadratic expression standard form:ax²+bx+c
• order of PEMDAS

1. parentheses
2. exponent
3. multiplication or
4. division
5. addition
6. subtraction

• left to right

given:

• 4x+7-8x²+2x+5x²-11

to do

• simplification

let's do:

`\sf 4x + 7 - {8x}^(2) + 2x + {5x}^(2) - 11`

`step - 2 : simplify`

1. 
   `\tt \: rewrite : \\ \sf {8x}^(2) + {5x}^(2) + 4x + 2x + 7 - 11`
2. 
   `\tt \:combine \: like \: terms: \\ \sf { - 3x}^(2) + 6x + 7 - 11`
3. 
   `\tt \: substrak : \\ \sf { - 3x}^(2) + 6x - 4`

therefore

we can see the expression is in standard form since a,b and c is -3,6 and -4

also let's justify it

substitute the value of a,b and c respectively

(-3)x²+(6)x+(-4)

-3x²+6x-4 (proven)