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HACTEHA [7]
3 years ago
11

Factorise x cube -2x square -5x plus 6

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

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arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and  (-2,4) respectively.

If a point reflects over the y-axis then,

(x,y)\rightarrow(-x,y)

So after reflecting coordinates of point C become,

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So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

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The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

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2 years ago
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Step-by-step explanation:

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equation:

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Step-by-step explanation:

domain is all X values and the X values will extent till infinity in both negative and positive direction, the range is all y values and the y value will go from negative infinity all the way to 4, where the graph stops.

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