Multiply the polynomials by using the distributive property. $$( - 7.3 n + 4.7 p ) ( - 4.6 n + 3.1 p )$$
A) $- 11.9 n ^ { 2 } - 44.25 n p + 7.8 p ^ { 2 }$
B) $33.58 n ^ { 2 } - 22.63 n - 21.62 p + 14.57 p ^ { 2 }$
C) $33.58 n ^ { 2 } - 44.25 n p + 14.57 p ^ { 2 }$
D) $33.58 n - 44.25 n p + 14.57 p$

Question

Quizplus · Accepted Answer

To multiply the polynomials, apply the distributive property (also known as the FOIL method for binomials): Multiply each term in the first polynomial by each term in the second polynomial and then add the results. 1. $(-7.3n) \times (-4.6n) = 33.58n^2$2. $(-7.3n) \times (3.1p) = -22.63np$3. $(4.7p) \times (-4.6n) = -21.62np$4. $(4.7p) \times (3.1p) = 14.57p^2$Adding the middle terms: $-22.63np - 21.62np = -44.25np$So, the result is $33.58n^2 - 44.25np + 14.57p^2$.

Multiply the Polynomials by Using the Distributive Property (−7.3n+4.7p)(−4.6n+3.1p)( - 7.3 n + 4.7 p ) ( - 4.6 n + 3.1 p )(−7.3n+4.7p)(−4.6n+3.1p)

Multiply the Polynomials by Using the Distributive Property $( - 7.3 n + 4.7 p ) ( - 4.6 n + 3.1 p )$