21. x² +9x - 22
Factors of cSum of Factors
7
7
?
?
7
7
9
7

Answer:
[tex]\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}[/tex]
Step-by-step explanation:
Quadratic equation: ax² + bx + c = 0, where a ≠ 0
x² + 9x - 22
Factors of c (-22):
1 × -22 or -1 × 22
2 × -11 or -2 × 11
Sum of factors:
1 + (-22) = -21 or -1 + 22 = 21
2 + (-11) = -9 or -2 + 11 = 9
Table:
[tex]\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}[/tex]
Hope this helps!