A Polynomial F ( X ) with Real Coefficients and Leading

Multiple Choice

A polynomial f ( x ) with real coefficients and leading coefficient 1 has the given zero and degree. Express f ( x ) as a product of linear and quadratic polynomials with real coefficients that are irreducible over R. $7 + 2 i \text {; degree } 2$

A) $x ^ { 2 } - 49 x + 53$
B) $x ^ { 2 } + 14 x + 53$
C) $x ^ { 2 } - 14 x + 53$
D) $x ^ { 2 } + 49 x + 53$
E) $x ^ { 2 } - 14 x + 49$