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Leni [432]
3 years ago
12

CAN SOMEONE HELP PLZZZZ ALGEBRA

Mathematics
2 answers:
alekssr [168]3 years ago
7 0

Answer:

Step-by-step explanation:

The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x),  you can solve for the remainder.

f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)

f(5) = x^3 - 4x + k  now put 5 into x on the right

f(5) = 5^3 - 4(5) + k

f(5) = 125 - 20 + k = 91

f(5) = 105 + k = 91

105 + k = 91                Subtract 105 from both sides

k = 91 - 105

k = -14

babunello [35]3 years ago
5 0

Answer: <em>K = 196</em>

Step-by-step explanation:

We are given the equation f(x) = x^{3} -4x+k, and we are also given the fact the the 91 is left when the value of x = -5. We have to find the value of k.

1. The first step is to substitute the x for -5.

2. After substituting the x for -5 in all places, ad<em> =91</em> to make it an equation because we know that 91 will remain. After that, simplify the equation.

<em>-4(-5) becomes 20 because multiplying a negative factor by itself or another negative factor makes the product a positive.</em>

<em />

3. Once finished simplifying, add 105 to both sides of the equation in order to get the variable by itself.

1. f(x) = x^{3} -4x+k

   -5^{3} -4(-5)+k

2. -5x^{3} -4(-5)+k = 91

   -125+20+k=91

    -105+k=91

3.  <u>-105</u> + k =<u> 91</u>

    +105      +105

     k = 196

Hope this helps!

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