How do you divide #(5x^3-7x^2-35) / (x-5)#?

Answer 1

#color(blue)(5x^2+18# and remainder of #color(blue)55#

# color(white)(..............)color(blue)(5x^2+18# #color(white)(aa)x-5##|##overline(5x^3-7x^2-35)# #color(white)(..............)ul(5x^3-^2)# #color(white)(........................)18x^2-35# #color(white)(........................)ul(18x^2-90)# #color(white)(..................................)color(blue)55#
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Answer 2

To divide (5x^3-7x^2-35) by (x-5), you can use polynomial long division.

First, divide the highest degree term of the dividend (5x^3) by the highest degree term of the divisor (x). This gives you 5x^2.

Next, multiply the entire divisor (x-5) by the quotient obtained (5x^2), which gives you 5x^3-25x^2.

Subtract this result from the original dividend (5x^3-7x^2-35) to get -18x^2-35.

Now, repeat the process with the new dividend (-18x^2-35). Divide the highest degree term (-18x^2) by the highest degree term of the divisor (x), which gives you -18x.

Multiply the entire divisor (x-5) by the new quotient obtained (-18x), which gives you -18x^2+90x.

Subtract this result from the previous dividend (-18x^2-35) to get -125x-35.

Finally, divide the remaining term (-125x) by the divisor (x-5), which gives you -125.

Therefore, the quotient is 5x^2-18x-125, and the remainder is -35.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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