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erma4kov [3.2K]
3 years ago
12

What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

The answer to your question is:    3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

                                 3    2    -5   - 6    -2       -1

                                      -3      1     4      2                                            

                                 3   -1     -4    -2      0

 Result        3x³ - x² - 4x - 2

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Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.

<h3>What is a Quadratic Equation?</h3>

A quadratic equation is an equation that can be written in the form of

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In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,

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As we can see that the value of constants are,

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6x^2 - 31x -30 = 0\\\\6x^2 - 36x+5x -30 = 0\\\\6x(x-6)+5(x-6)=0\\\\(6x+5)(x-6)=0

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If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.

Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.

Learn more about Quadratic Equation:

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