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jeka57 [31]
2 years ago
9

(X^2+ x– 12) (x^2+ 10x + 25)

Mathematics
2 answers:
Fudgin [204]2 years ago
7 0

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

let's evaluate ~

\qquad \sf  \dashrightarrow \: ( {x}^{2}  + x - 12)( {x}^{2}  + 10x + 25)

\qquad \sf  \dashrightarrow \:  {x}^{4} + 10 {x}^{3}   + 25 {x}^{2}  +  {x}^{3} +  10 {x}^{2}  + 25x - 12 {x}^{2}  - 120x - 300

\qquad \sf  \dashrightarrow \:  {x}^{4} + 11 {x}^{3}   + 23 {x}^{2}  - 95x - 300

In the given expression we can clearly observe that the Coefficient of x is " -95 "

yulyashka [42]2 years ago
6 0

Solution:

  • (x² + x – 12)(x² + 10x + 25)
  • => (x⁴ + 10x³ + 25x²) + (x³ + 10x² + 25x) + (-12x² - 120x - 300)
  • => x⁴ + 10x³ + 25x² + x³ + 10x² + 25x - 12x² - 120x - 300
  • => x⁴ + (10x³ + x³) + (25x² + 10x² - 12x²) + (25x - 120x) - 300
  • => x⁴ + (11x³) + (23x²) + (-95x) - 300
  • => x⁴ + 11x³ + 23x² - 95x - 300

The only term that has a x-variable is "-95x".

The coefficient of x is -95.

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