Consider the quadratic $x^2+11x+24$x2+11x+24, and fill in the blanks:
To factor this quadratic, we need to find two numbers whose product is $\editable{}$ and whose sum is $\editable{}$.
Find the values of $a$a and $b$b given $aa<b and
$a+b=15$a+b=15 and $a\times b=56$a×b=56
Find the values of $a$a and $b$b given $aa<b and
$a+b=-15$a+b=−15 and $a\times b=50$a×b=50