document.write( "Question 1088875: Equation (x+2)(x+a)=x^2 + 4x+b where a and b are constants. If the equation is true for all values of x, what's the value of b?
\n" ); document.write( "A. 8
\n" ); document.write( "B. 6
\n" ); document.write( "C. 4
\n" ); document.write( "D. 2 \n" ); document.write( "

Algebra.Com's Answer #703184 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If the $\"highlight%28cross%28equation%29%29\"$ equality (x+2)(x+a)=x^2 + 4x+b is true for all values of x, it implies that a = 2.\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "     (after opening the parentheses and comparing the terms)\r\n" );
document.write( "

\n" ); document.write( "In turn, it implies that 2a = b. Hence, b = 4.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer. b = 4. Option C).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );