Expand the expression to a polynomial in standard form:
(x - 1)(x2 - x +8)
Options
A
x3 - 2x2 + 9x - 8
B
x3 - 2x2 + 9x + 8
C
x3 + 2x2 + 9x - 8
D
x3 - 2x2 - 9x - 8
Answer & Analysis
Answer
A
Analysis
To expand the expression (x - 1)(x2 - x +8), we can use the distributive property and multiply each term of the first expression by each term of the second expression:
(x - 1)(x2 - x +8) = x * (x2 - x +8) + (-1) * (x2 - x +8)
Expanding further:
= x3 - x2 + 8x - x2 + x - 8
Combining like terms:
= x3 + (-x
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