Question

Factor the expression completely id="TexFormula1" title=" { \times }^{2} - 2x - 63 " alt=" { \times }^{2} - 2x - 63 " align="absmiddle" class="latex-formula">
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Answer 1

Use form x^2 + bx + c
b = -2
c = -63
find a pair of integers whose product equals c and sum equals b

so, find a product that equals -63 and a sum that equals -2

-9 + 7 = -2
-9 • 7 = -63

write in factored form ->
(x - 9)(x + 7)