Use the FOIL method to find the product. Express the product in descending powers of the variable.
-$$\left( 4 x ^ { 2 } + 1 \right) \left( 3 x ^ { 2 } - 9 \right)$$
A) $12 x ^ { 4 } - 33 x ^ { 2 } - 9$
B) $7 x ^ { 4 } - 33 x ^ { 2 } - 33$
C) $7 x ^ { 4 } - 33 x ^ { 2 } - 9$
D) $12 x ^ { 4 } - 33 x ^ { 2 } - 33$

Question

Quizplus · Accepted Answer

Using the FOIL method: First terms: $4x^2 \cdot 3x^2 = 12x^4$, Outer terms: $4x^2 \cdot (-9) = -36x^2$, Inner terms: $1 \cdot 3x^2 = 3x^2$, Last terms: $1 \cdot (-9) = -9$. Adding these together: $12x^4 + (-36x^2 + 3x^2) - 9 = 12x^4 - 33x^2 - 9$.

Use the FOIL Method to Find the Product (4x2+1)(3x2−9)\left( 4 x ^ { 2 } + 1 \right) \left( 3 x ^ { 2 } - 9 \right)(4x2+1)(3x2−9)

Use the FOIL Method to Find the Product $\left( 4 x ^ { 2 } + 1 \right) \left( 3 x ^ { 2 } - 9 \right)$