1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer:
15) x = 112
18) x = 120
19) x = 31
20) x = 65
Step-by-step explanation:
I hope that is useful for you :)
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√(-√2-(-√2))²+(√3-2√3)²= 3
Answer:
Step-by-step explanation:
4x^2 - 5x + 3 + 2x - 7
4x^2 - 3x - 4
6.24 x 10^3.....^3, the 3 is the exponent
