Answer:
[tex]x^2+11x+16=(x+3)(x+8)-8[/tex]
Explanation:
Use the following (Division algorithm)
Dividend = Divisor × Quotient + Remainder
[tex]x^2+11x+16=x^2+11x+24-8\\=(x^2+8x+3x+24)-8\\=[x(x+8)+3(x+8)]-8\\=(x+3)(x+8)-8\,\,\,(i)[/tex]
Here,
Dividend = [tex]x^2+11x+16[/tex]
Divisor = [tex]x+3[/tex]
Quotient = [tex]x+8[/tex]
Remainder = [tex]-8[/tex]
