Multiply Polynomials
-$$( x + 4 ) \left( 2 x ^ { 2 } + 5 x + 9 \right)$$
A) $2 x ^ { 3 } + 13 x ^ { 2 } + 29 x + 36$
B) $2 x ^ { 3 } + 8 x ^ { 2 } + 20 x + 36$
C) $10 x ^ { 3 } + 25 x ^ { 2 } + 45 x$
D) $40 x ^ { 4 } + 2 x ^ { 3 } + 180 x ^ { 2 } + 36$

Question

Quizplus · Accepted Answer

To multiply the polynomials, distribute each term in the first polynomial across each term in the second polynomial: $x(2x^2) + x(5x) + x(9) + 4(2x^2) + 4(5x) + 4(9)$. Simplify to get $2x^3 + 5x^2 + 9x + 8x^2 + 20x + 36$, which combines to $2x^3 + 13x^2 + 29x + 36$.

Multiply Polynomials - (x+4)(2x2+5x+9)( x + 4 ) \left( 2 x ^ { 2 } + 5 x + 9 \right)(x+4)(2x2+5x+9)

Multiply Polynomials
- $( x + 4 ) \left( 2 x ^ { 2 } + 5 x + 9 \right)$