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Using the remainder theorem, find the value of `x^3+6 x^2-30 x-34` when `x = 4` is
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Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
6
The remainder theorem tells us the value of a polynomial when `x = a` is the remainder when the polynomial is divided by `x - a`.
We'll use synthetic division to divide by `(x - 4)`:
The last entry of the row is the remainder, `6`.
So the value of `x^3+6 x^2-30 x-34` when `x = 4` is `6`.
We'll use synthetic division to divide by `(x - 4)`:
`4` | `1` | `6` | `-30` | `-34` |
`4` | `40` | `40` | ||
`1` | `10` | `10` | `6` |
The last entry of the row is the remainder, `6`.
So the value of `x^3+6 x^2-30 x-34` when `x = 4` is `6`.