factories x² - 8x - 84 using suitable identity
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1.1 Factoring x2-8x-84
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -84
Step-1 : Multiply the coefficient of the first term by the constant 1 • -84 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is -8 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 6
x2 - 14x + 6x - 84
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