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W^2+7w-30 factor please and show work thanks a lot

Sagot :

sqdancefan

Answer:

  (w -3)(w +10)

Step-by-step explanation:

The product of two binomial factors looks like ...

  (x +a)(x +b) = x² +(a+b)x +ab

This means you want to find values 'a' and 'b' such that ...

  • their product is -30
  • their sum is 7

You can do this by looking at factor pairs of -30 that have positive sums:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. You want the factor pair with a sum of 7, so 'a' = -3 and 'b' = 10.

  w^2 +7w -30 = (w -3)(w +10)

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