Given that f(x)=9x^2-50, apply the raminder theorem to find the remainder of (9x^2-50) divided by (x-7/3)
1. -203/3
2. -1
3. -50
4. -29
To apply the remainder theorem, we need to substitute the value of (x-7/3) into the function f(x) and find the result.
f(x) = 9x^2 - 50
f(7/3) = 9(7/3)^2 - 50
= 9(49/9) - 50
= (49) - 50
= -1
Therefore, the remainder of (9x^2 - 50) divided by (x - 7/3) is -1.
The correct option is 2. -1.
To apply the remainder theorem, we need to evaluate the polynomial function f(x) at the given value x = 7/3.
Step 1: Substitute x = 7/3 into f(x) = 9x^2 - 50.
f(7/3) = 9(7/3)^2 - 50
= 9(49/9) - 50
= 49 - 50
= -1
Therefore, the remainder when dividing (9x^2 - 50) by (x - 7/3) is -1.
Hence, the correct answer is option 2.
To apply the remainder theorem, we need to evaluate the function f(x) at the value that makes the divisor equal to zero, which in this case is x - 7/3.
To find the remainder, substitute (7/3) into the function f(x):
f(7/3) = 9(7/3)^2 - 50
First, simplify (7/3)^2:
(7/3)^2 = 49/9
Now substitute back into the function:
f(7/3) = 9(49/9) - 50
Simplify:
f(7/3) = 49 - 50
f(7/3) = -1
Therefore, the remainder when (9x^2 - 50) is divided by (x - 7/3) is -1.
The correct answer is option 2.