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Inessa05 [86]
2 years ago
10

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

Mathematics
2 answers:
noname [10]2 years ago
8 0

Answer:

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

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • algebra
  • algebraic addition subtraction
  • PEMDAS
<h3>tips and formulas:</h3>
  • 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
<h3>given:</h3>
  • 4x+7-8x²+2x+5x²-11
<h3>to do</h3>
  • simplification
<h3>let's do:</h3>

step - 1  : define

\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)

yarga [219]2 years ago
5 0

Answer:

  • -3x² + 6x - 4

Step-by-step explanation:

<u>Simplify</u>:

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