yes, there are infinitety many polynomial that have exactly one real root just like your example, to determine the real root first let the real root is a, and the complex roots are b±ic the polynomial satisfy
-9x³ + 19x² + 17 = -(x - a)(x - b - ic)(x - b + ic)
9x³ - 19x² - 17 = (x - a)(x - b - ic)(x - b + ic)
Answer:
Here is the rule: when a and b are not negative
√(ab) = √a × √b
Example: simplify √8
√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
In other words 2 x 4 = 8 = √2 x 4 but 4 can be simplified more (2 x 2) so 2 (previous 4) moves to the left of the square root leaving 2√2
To simplify a square root: make the number inside the square root as small as possible (but still a whole number)
or you can use a simplifying square root calculator.
Consecutive exterior angles
