Mathematics: Fill in the blanks: when combining like terms, we add or subtract the and keep the the same

Fill in the blanks: when combining like terms, we

Ответ:

whitakers87

09.07.2020

When combining like terms, we add or subtract the _coefficients_and keep the _x value_ the same.

Example: 7x-9+8x

7x and 8x are like terms. Add 7+8 to get 15 then add on the "x". The answer would be -9+15x

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Ответ:

DaiDai8328

20.09.2021

Mathematics

3 | 1 5 -8 6

. | 3 24 48

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

. | 1 8 16 54

That is to say,

$\dfrac{x^3+5x^2-8x+6}{x-3}=x^2+8x+16+\dfrac{54}{x-3}$

The remainder is 54.

Another way of doing it is to apply the polynomial remainder theorem, which says the remainder upon dividing a polynomial p(x) by x-c is exactly p(c) . So recognizing that the listed coefficients refer to

p(x)=x^3+5x^2-8x+6

we find

$p(3)=3^3+5\cdot3^2-8\cdot3+6=54$

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Fill in the blanks: when combining like terms, we add or subtract the and keep the the same

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