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Lina20 [59]
3 years ago
8

Factor x3 + 2x2 – 9x – 18, given that –2 is a zero.

Mathematics
1 answer:
Lilit [14]3 years ago
3 0
To factor by a binomial, I like to use synthetic division (You can use long division but it is more work).


We are actually given a binomial because if -2 is a zero, the binomial is represented by (x- (-2)) or (x+2)

To use synthetic division,

-2 | 1  2  -9  -18
         -2   0   18
____________
      1  0  -9    0

Therefore, you know the constants of the equation which is equal to

1x^2 +0x -9x +0

x^2-9x

The full equation is equal to (x+2)(x^2-9x)
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<h3>What is a line segment?</h3>

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Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

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C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

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