x²-7x-8 splitting the Middle term
Answers
x^2 - 7x - 8 = x^2 -8x + x - 8
= x(x-8) +1(x-8)
= (x-8)(x+1)
heya,
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The first term is, x2 its coefficient is 1 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 1 • 8 = 8
Step-2 : Find two factors of 8 whose sum equals the coefficient of the middle term, which is 7 .
-8 + -1 = -9
-4 + -2 = -6
-2 + -4 = -6
-1 + -8 = -9
1 + 8 = 9
2 + 4 = 6
4 + 2 = 6
8 + 1 = 9
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factorised.
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