Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)

Expert Solution

milcah answered 2 years ago

Use the remainder theorem to find the remainder when f(x) is divided by x-1. Then use...

Use the remainder theorem to find the remainder when f(x) is divided by x-1. Then use the factor theorem to determine whether x-1 is a factor of f(x). f(x)=4x4-9x3+14x-9 The remainder is ____ Is x-1 a factor of f(x)=4x4-9x3+14x-9? Yes or No

3. Find the quotient and remainder using long division. x3 + 7x2 − x + 1...

3. Find the quotient and remainder using long division. x3 + 7x2 − x + 1 x + 8 quotient = ? remainder = ? 4. Simplify using long division. (Express your answer as a quotient + remainder/divisor.) f(x) = 8x2 − 6x + 3 g(x) = 2x + 1 5. Find the quotient and remainder using long division. 9x3 + 3x2 + 22x 3x2 + 5 quotient remainder 6. Use the Remainder Theorem to evaluate P(c). P(x) = x4...

Question1: Find the interval of increase and decrease of given function f(x)=3x^5-5x^3 f(x)=1/3 x^3-9x+2

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2] Specify the (open) intervals on which f(x) is increasing, and the intervals on which f(x) is decreasing. (b) [2] Specify all local maxima and local minima, giving both x-coordinates and y-coordinates for them. (c) [2] Specify the intervals on which f(x) is concave up and on which f(x) is concave down. (d) [2] List the inflection point(s). (e) [2] Sketch a graph of y...

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

Using the Chinese remainder theorem solve for x: x = 1 mod 3 x = 5...

Using the Chinese remainder theorem solve for x: x = 1 mod 3 x = 5 mod 7 x = 5 mod 20 Please show the details, I`m trying to understand how to solve this problem since similar questions will be on my exam.

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an...

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an error formula for Taylor polynomial. Give error bounds for each of the two approximations in (a). Which of the two approximations in part (a) is closer to correct value? c) Compare an actual error in each case with error bound in part (b).

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an...

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an error formula for Taylor polynomial. Give error bounds for each of the two approximations in (a). Which of the two approximations in part (a) is closer to correct value? c) Compare an actual error in each case with error bound in part (b).

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find the local minimum and maximum points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of concavity upward and downward for f(x). 4) Find the absolute maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...

Question

Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)

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Expert Solution

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Use the remainder theorem to find the remainder when f(x) is divided by x-1. Then use...

3. Find the quotient and remainder using long division. x3 + 7x2 − x + 1...

Question1: Find the interval of increase and decrease of given function f(x)=3x^5-5x^3 f(x)=1/3 x^3-9x+2

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

Using the Chinese remainder theorem solve for x: x = 1 mod 3 x = 5...

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an...

consider f(x) = ln(x) a) Approximate f(0.9) and f(1.1) b) Use Taylor remainder to find an...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...