What is the remainder when the function f(x)=x^4 - 3x^3 +7x - 1 is divided by (x-2)

5 (The second option).

Step-by-step explanation:

1. To divide by you must complete the polynomial with the missing term :

2. Write the coefficients of the polynomial and solve for in the deminator to find the number to write in the division:

3. Write the first coefficient under the line, multiply 2 by this coefficient and substract the result with the next coefficient. Multiply the result of the substraction by 2 and repeat the proccedure this with each coefficient:

2 | 1  -3  0   7  -1

     1   2  -2 -4  6

   ___________

        -1   -2  3  5

4. The remainder is 5.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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