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

$a+b=-15$a+b=−15 and $a\times b=50$a×b=50

Find the values of $a$a and $b$b given that $bb<a, $a+b=-11$a+b=−11 and $ab=18$ab=18.

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