Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
-$$f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$$
A) $( x + 7 ) \left( 3 x ^ { 2 } + x + 1 \right)$
B) $( x - 7 ) \left( 2 x ^ { 2 } + x + 1 \right)$
C) $( x - 7 ) \left( 3 x ^ { 2 } + 2 x - 1 \right)$
D) $( x - 7 ) \left( 3 x ^ { 2 } + x + 1 \right)$

Question

Quizplus · Accepted Answer

By synthetic division, $ x + 7 $ is a factor. Then, by factoring the quotient, we get $ f ( x ) = ( x + 7 ) \left( 3 x ^ { 2 } + x + 1 \right)$.

Write the Function as a Product of Linear and Irreducible f(x)=3x3−20x2−6x−7f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7f(x)=3x3−20x2−6x−7

Write the Function as a Product of Linear and Irreducible $f ( x ) = 3 x ^ { 3 } - 20 x ^ { 2 } - 6 x - 7$