julissa8686 julissa8686
  • 27-07-2020
  • Mathematics
contestada

Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x

Factor this polynomial expression and wrote it in its fully factored form 3x3 3x2 18x class=

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jimrgrant1 jimrgrant1
  • 27-07-2020

Answer:

fourth option

Step-by-step explanation:

Given

3x³ + 3x² - 18x ← factor out 3x from each term

= 3x(x² + x - 6) ← factor the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, thus

x² + x - 6 = (x + 3)(x - 2) and

3x³ + 3x² - 18x = 3x(x + 3)(x - 2) ← in factored form

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