Find the product. Assume all variable exponents represent whole numbers.
-$$\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$$
A) $x ^ { 4 } + x ^ { 3 } + 9 x ^ { 2 } + 9 x + 18$
B) $x ^ { 4 } + x ^ { 3 } - 8 x ^ { 2 } - 9 x + 18$
C) $x ^ { 4 } + 2 x ^ { 3 } + 10 x ^ { 2 } + 9 x + 18$
D) $x ^ { 4 } + 2 x ^ { 3 } - 9 x ^ { 2 } - 3 x + 18$

Question

Quizplus · Accepted Answer

To find the product of the two polynomials, each term in the first polynomial is multiplied by each term in the second polynomial and then like terms are combined. The correct expansion and simplification result in $x^4 + 2x^3 + 10x^2 + 9x + 18$.

Find the Product (x2+x+3)(x2+x+6)\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)(x2+x+3)(x2+x+6)

Find the Product $\left( x ^ { 2 } + x + 3 \right) \left( x ^ { 2 } + x + 6 \right)$