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Paraphin [41]
3 years ago
8

If a polynomial function f(x) has roots 3+ V5 and -6, what must be a factor of f(x)?

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Radicals and imaginary numbers ALWAYS come in pairs when it comes to factors of polynomials. This is the called the conjugate theorem. If we are given a solution/root/zero that is

x = 3 + √5, then its conjugate is x = 3 - √5. Going backwards from the solution to the factor, we utilize the Zero Product Property and get

(x - (3 - √5)) which simplifies to (x - 3 + √5). if you are looking for the conjugate of the given zero, the choice you want is the second one down.

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For a field trip 29 students rode in cars and the rest filled eight buses. how many students were in each bus if 237 students we
Inessa [10]
So if 29 students rode in cars, we can subtract 29 from 237 because we don't need to know about the people in the cars, which means that 208 students rode on buses. If there were 8 buses, the we need to divide 208 by 8 which makes 26 students per bus.

I hope this helps!
4 0
3 years ago
What is the answer to this
blagie [28]
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Natasha_Volkova [10]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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Find the perimeter of the triangle whose vertices are the following, specified points in the plane.
hichkok12 [17]

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

AB=\sqrt{(1-(-10))^2+(4-(-3))^2}

AB=\sqrt{(1+10)^2+(4+3)^2}

AB=\sqrt{(11)^2+(7)^2}

AB=\sqrt{121+49}

AB=\sqrt{170}

Similarly,

BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}

AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}

Now, the perimeter of the triangle is

Perimeter=AB+BC+AC

Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}

Perimeter\approx 13.038+3.606+13.454

Perimeter=30.098

Therefore, the perimeter of the triangle is 30.098 units.

8 0
3 years ago
Find the measure of the missing angle.
kumpel [21]

Answer:

d

Step-by-step explanation:

90-17=73

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