Perform the division. ( x 3 + 6 x 2 + 11 x + 12 ) ÷ ( x 2 + 2 x + 3 ) \left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right) \div \left( x ^ { 2 } + 2 x + 3 \right) ( x 3 + 6 x 2 + 11 x + 12 ) ÷ ( x 2 + 2 x + 3 ) A) x 3 + 21 x ^ { 3 } + 21 x 3 + 21 B) x+4C) x 2 + 8 x x ^ { 2 } + 8 x x 2 + 8 x D) x+3E) x 3 + 9 x ^ { 3 } + 9 x 3 + 9

Question

Perform the division.   ( x 3 + 6 x 2 + 11 x + 12 )  ÷ ( x 2 + 2 x + 3 )  \left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right)  \div \left( x ^ { 2 } + 2 x + 3 \right)  ( x 3 + 6 x 2 + 11 x + 12 )  ÷ ( x 2 + 2 x + 3 )  A)    x 3 + 21 x ^ { 3 } + 21 x 3 + 21 B)  x+4C)    x 2 + 8 x x ^ { 2 } + 8 x x 2 + 8 x D)  x+3E)    x 3 + 9 x ^ { 3 } + 9 x 3 + 9

Chelsey Bullock · Accepted Answer

Final Answer : B, Explanation :   The division   ( x 3 + 6 x 2 + 11 x + 12 ) ÷ ( x 2 + 2 x + 3 ) \left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right) \div \left( x ^ { 2 } + 2 x + 3 \right) ( x 3 + 6 x 2 + 11 x + 12 ) ÷ ( x 2 + 2 x + 3 )   simplifies to   x + 4 x + 4 x + 4  . This can be found by polynomial long division or synthetic division, where the quotient is   x + 4 x + 4 x + 4   and there is no remainder.

Perform the division. $\left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right) \div \left( x ^ { 2 } + 2 x + 3 \right)$

A) $x ^ { 3 } + 21$
B) x+4
C) $x ^ { 2 } + 8 x$
D) x+3
E) $x ^ { 3 } + 9$

Definitions

Learning Objectives

Learning Objectives

Related questions

Perform the division. (x3+6x2+11x+12) ÷(x2+2x+3) \left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right) \div \left( x ^ { 2 } + 2 x + 3 \right) (x3+6x2+11x+12) ÷(x2+2x+3) A) x3+21x ^ { 3 } + 21x3+21 B) x+4C) x2+8xx ^ { 2 } + 8 xx2+8x D) x+3E) x3+9x ^ { 3 } + 9x3+9

Definitions

Learning Objectives

Learning Objectives

Related questions

Perform the division. $\left( x ^ { 3 } + 6 x ^ { 2 } + 11 x + 12 \right) \div \left( x ^ { 2 } + 2 x + 3 \right)$

A) $x ^ { 3 } + 21$
B) x+4
C) $x ^ { 2 } + 8 x$
D) x+3
E) $x ^ { 3 } + 9$