Use a vertical format to find the product of the two polynomials. ( 3 x 2 − 4 x − 4 ) ( 3 x 2 − 4 x − 1 ) \left( 3 x ^ { 2 } - 4 x - 4 \right) \left( 3 x ^ { 2 } - 4 x - 1 \right) ( 3 x 2 − 4 x − 4 ) ( 3 x 2 − 4 x − 1 ) A) 9 x 5 − 24 x 3 + x 2 + 20 x + 4 9 x ^ { 5 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x + 4 9 x 5 − 24 x 3 + x 2 + 20 x + 4 B) 9 x 4 − 24 x 3 + x 2 + 20 x + 4 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x + 4 9 x 4 − 24 x 3 + x 2 + 20 x + 4 C) 9 x 4 − 24 x 3 + 20 x + 4 9 x ^ { 4 } - 24 x ^ { 3 } + 20 x + 4 9 x 4 − 24 x 3 + 20 x + 4 D) 9 x 4 − 24 x 3 + x 2 + 4 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 4 9 x 4 − 24 x 3 + x 2 + 4 E) 9 x 4 − 24 x 3 + x 2 + 20 x 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x 9 x 4 − 24 x 3 + x 2 + 20 x

Question

Use a vertical format to find the product of the two polynomials.   ( 3 x 2 − 4 x − 4 )  ( 3 x 2 − 4 x − 1 )  \left( 3 x ^ { 2 } - 4 x - 4 \right)  \left( 3 x ^ { 2 } - 4 x - 1 \right)  ( 3 x 2 − 4 x − 4 )  ( 3 x 2 − 4 x − 1 )  A)    9 x 5 − 24 x 3 + x 2 + 20 x + 4 9 x ^ { 5 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x + 4 9 x 5 − 24 x 3 + x 2 + 20 x + 4 B)    9 x 4 − 24 x 3 + x 2 + 20 x + 4 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x + 4 9 x 4 − 24 x 3 + x 2 + 20 x + 4 C)    9 x 4 − 24 x 3 + 20 x + 4 9 x ^ { 4 } - 24 x ^ { 3 } + 20 x + 4 9 x 4 − 24 x 3 + 20 x + 4 D)    9 x 4 − 24 x 3 + x 2 + 4 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 4 9 x 4 − 24 x 3 + x 2 + 4 E)    9 x 4 − 24 x 3 + x 2 + 20 x 9 x ^ { 4 } - 24 x ^ { 3 } + x ^ { 2 } + 20 x 9 x 4 − 24 x 3 + x 2 + 20 x

Joseph Delos · Accepted Answer

Final Answer : B, Explanation :  3x^2 - 4x - 4x  3x^2 - 4x - 1------------------9x^4 - 12x^3 - 3x^2     ← (3x^2) * (-1) = -3x^4-12x^3 + 16x^2 + 4x         ← (-4x) * (3x^2) + (-4x) * (-1)-12x^2 + 16x + 4            ← (-4) * (3x^2) + (-4) * (-1)------------------9x^4 - 24x^3 + x^2 + 20x + 4

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