Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
R=50 because 8×50=400 so that is what r would equal
The exponent would be 5 the fifth power, because since the number your using to multiply it by is 5 and you are multiplying is by 5 fives it would be 5 to the fifth power
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic , the discriminant is .
(The discriminant is more commonly known as , but I changed the variable since we already have a in the quadratic given.)
In the quadratic above, we have , , and . Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes
Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have
20
the input value in the x column is multiplied by 5 to get the output value in the y column