Question

expand.
your answer should be a polynomial in standard form.
(-1 + 2p)(3 - 4p) =

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \((-1)(3) = -3\)
Multiply the Outer terms: \((-1)(-4p) = 4p\)
Multiply the Inner terms: \((2p)(3) = 6p\)
Multiply the Last terms: \((2p)(-4p) = -8p^2\)

Step2: Combine like terms

Combine the \(p\) terms: \(4p + 6p = 10p\)
Now, combine all terms: \(-3 + 10p - 8p^2\)

Step3: Rearrange into standard form

Standard form of a polynomial is \(ax^2 + bx + c\), so we rearrange the terms: \(-8p^2 + 10p - 3\)

Answer:

\(-8p^2 + 10p - 3\)