Q. Expand.Your answer should be a polynomial in standard form.(−1+2p)(3−4p)=
Apply distributive property: Apply the distributive property to expand the expression (−1+2p)(3−4p).Distribute each term in the first binomial (−1+2p) with each term in the second binomial (3−4p).(−1+2p)(3−4p)=(−1)(3)+(−1)(−4p)+(2p)(3)+(2p)(−4p)
Multiply terms: Multiply the terms.(−1)(3)=−3(−1)(−4p)=4p(2p)(3)=6p(2p)(−4p)=−8p2So, (−1+2p)(3−4p)=−3+4p+6p−8p2
Combine like terms: Combine like terms.4p+6p=10pSo, (−1+2p)(3−4p)=−3+10p−8p2
Write in standard form:Write the polynomial in standard form, which means ordering the terms from highest degree to lowest degree.The standard form of the polynomial is −8p2+10p−3.