Given that f(x)=9x^2−50, apply the Remainder Theorem to find the remainder of (9x^2−50)÷(x−7/3).

-29

-1

-203/3

-50

1 answer

To find the remainder of the polynomial division, we can use the Remainder Theorem which states that if a polynomial f(x) is divided by x - c, then the remainder is f(c).

In this case, we are dividing f(x) = 9x^2 - 50 by x - 7/3.

By applying the Remainder Theorem, we substitute x = 7/3 into the polynomial f(x):

f(7/3) = 9(7/3)^2 - 50
= 9(49/9) - 50
= 49 - 50
= -1

Therefore, the remainder of (9x^2 - 50) ÷ (x - 7/3) is -1.