julissa8686 julissa8686
  • 29-07-2020
  • Mathematics
contestada

4x-8/x^2+3x-10 = 4(x-2)/x^2+3x-10 factor the quadratic expression in the denominator of the expression.

4x8x23x10 4x2x23x10 factor the quadratic expression in the denominator of the expression class=

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jimrgrant1 jimrgrant1
  • 29-07-2020

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

Given

x² + 3x - 10 ← expression on the denominator

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

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