9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
Answer:
2.3 x 10⁴
Step-by-step explanation:
23000 is the number. You need the decimal to be in between the two whole numbers that aren't 0.
2.3 <
2.3 x 10, the exponent after the ten has to move the decimal to the original number of spaces in the original number 23000.
In 23000 its 4 places so your answer would be
2.3 x 10⁴
<u>Given:</u>
The circle has a diameter of 30 cm and a chord of 10 cm is drawn.
Radius of the circle = 15 cm
Half of the chord = 5 cm
We need to determine the distance of chord from the center of the circle.
<u>Distance of chord from the center of the circle:</u>
Let us use the Pythagorean theorem, to find the distance between the center and the chord.
Let d denote the distance between the center and the chord of the circle.
Thus, we get;
Taking square root on both sides, we get;
Thus, the distance between the center and the chord of the circle is 14.14 cm.
Hence, Option A is the correct answer.
Answer:
(4, –1, 3)
What is the solution to the following system? (3, –1, 4) (4, 1, 3) (4, –1, 3) (3, 1, 4
