Question 1199167: What number would need to replace the ? Below to make a true statement 7p3 - 35p2 - 98p= 7p (p+2) (p -?) Answer by ikleyn(52795) (Show Source):
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What number would need to replace the "?" below
to make a true statement 7p3 - 35p2 - 98p = 7p (p+2) (p -?)
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Take the common factor 7p out the parentheses and then factor the remaining quadratic polynomial in parentheses to get
7p^3 - 35p^2 - 98p = 7p(p^2 - 5p - 14) = 7p*(p+2)*(p-7).
ANSWER. Replace the question mark "?" by "7".