1.)A.

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

The answer is 1.)A it is what makes sense

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artcher [175]

1. We can conclude that the result of the division is $x-13$ with a remainder of $4x-9$ , or in other notation: $x-13+ \frac{4x-9}{x^2+3}$ . Check the steps in the first image.

3. We can conclude that the result of the division is $x^{2} +6x+3$ with a remainder of 2, or in other notation: $x^{2}+6x+3+ \frac{2}{x-1}$ . Check the steps in the firts image.

5. We can conclude that the result of the division is $x+1$ with a remainder of 5, or in other notation: $x+1+ \frac{5}{x-4}$ . Check the steps in the first image.

7. To check if $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the second image.

9. To check if $x-3$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is $-2x^{2}+9x+5$ . Check the steps in the fourth image.