Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.