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Oksanka [162]
3 years ago
5

Which real numbers are zeros of the function?

Mathematics
1 answer:
monitta3 years ago
6 0
<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.


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Answer:

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I looked at a calendar.

4 0
3 years ago
Graph the line given by x+y=-2 and the quadratic curve given by y=x²-4. Find all solutions to the system of equations. Verify yo
ycow [4]

Answer:

(1,-3) and (-2,0)

Step-by-step explanation:

x+y=-2

y=x^2-4

Applying the second equation to the first

x+x^2-4=-2\\\Rightarrow x+x^2-4+2=0\\\Rightarrow x^2+x-2=0

Solving the equation we get

x=\frac{-1+\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}, \frac{-1-\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}\\\Rightarrow x=1, -2

When x = 1

y=-2-1\\\Rightarrow y=-3

When x = -2

y=-2-(-2)\\\Rightarrow y=0

So, the line and curve will intersect at points (1,-3) and (-2,0)

5 0
3 years ago
A fruitseller bought 50 kg of fruits.He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining qua
kirill [66]

Answer:

2% profit

Step-by-step explanation:

x = price

50kg = 50x

30kg => 35x

20kg => 16x

35x + 16x = 51x

51x - 50x = x

50x .............. 100%

x ...................... p%

p = 1×100/50 = 100/50 = 2%

3 0
3 years ago
Read 2 more answers
Classify this expression: -2x
zvonat [6]

Answer:

A Linear Expression is the correct choice for this equation

5 0
2 years ago
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Ronch [10]
The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16 
6 0
3 years ago
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