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2 years ago

Write each polynomial in standard form. Then state the degree, the number of terms, and

Mathematics

1 answer:

salantis [7]2 years ago

8 0

Standard form:
-4x^3 - 6x^2 + 2x + 12

Degree = 3

Terms = 4

Zeros = 3

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

2 years ago

Y=15-4y what is the answer Y=___

Dominik [7]

Y=15 -4y
+4y +4y
5y=15
÷ ÷
5 5
y=3

6 0

2 years ago

How to simplify 8x+5x

uranmaximum [27]

Answer: 13x

Step-by-step explanation: Since 8x and 5x are like terms, we can add them together.

8x+5x=13x

Have a nice day! :)

3 0

2 years ago

What is the most cool thing or place you ever been

lions [1.4K]

Answer:

A library

Step-by-step explanation:

No explanation needed

6 0

3 years ago

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The range of 3, 5, 1, 2, 4, 6, 0, 2 is *

Scrat [10]

Answer:

6-0=6

Step-by-step explanation:

you take the highest number subtract the lowest answer

6 0

3 years ago

Read 2 more answers