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qaws [65]
3 years ago
9

One factor of the polynomial x^3 - 7x^2 + 13x - 3 is (x-3). What is the other factor of the polynomial? (Note: use long or synth

etic division.) a. (X^2 + 4x - 1) b. (X^2 - 4x + 1) c. (X - 4) d. (X+4)
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

b.   x^2 - 4x + 1

Step-by-step explanation:

Here is the long division.

                     x^2 - 4x + 1

                 -------------------------------

       x - 3   | x^3 - 7x^2 + 13x - 3

                   x^3 - 3x^2

                 -----------------

                          -4x^2 + 13x

                          -4x^2 + 12x

                        ------------------

                                           x - 3

                                           x - 3

                                        ----------

                                                0

Answer: b.   x^2 - 4x + 1

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Step-by-step explanation:

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3 years ago
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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

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Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

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meriva

Answer:

Domain: from -6 to 6, inclusive

Range: from -6 to 6, inclusive

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