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1 year ago

14

What is the relationship between the factors and the graph of a polynomial equation??

1 answer:

bija089 [108]1 year ago

8 0

Answer:

Each intercept corresponds to a zero of the polynomial function and every zero yields a factor.

Step-by-step explanation:

Each intercept corresponds to a zero of the polynomial function and every zero yields a factor, so we can now write the polynomial in factored form. Graphs behave differently at various intercepts. Sometimes, the graph will cross over the horizontal axis at an intercept. Other times, the graph will touch the horizontal axis and bounce off.

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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

What is the answer to 4 + (-3)=

Mnenie [13.5K]

Answer

1

Explanation

4-3=1

3 0

3 years ago

Read 2 more answers

Can Someone please help me with this please please please

jasenka [17]

Answer:

About 5.5, but it is technically closer to 5.6 so I am not entirely sure

Step-by-step explanation:

Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:

$\dfrac{x}{10}=\dfrac{10}{18} \\\\\\x=10\cdot \dfrac{10}{18}\approx 5.5$

Hope this helps!

4 0

3 years ago

the hardwere store sold 7,389 boxes of nails last year. they aold 9,125 boxes of screws. how many more boxes of screws did they

Naily [24]

1,784 because 9,125 - 7,389 = 1,784

7 0

2 years ago

Read 2 more answers

-1/2+-5/6 thank you

aleksandrvk [35]

Answer:

-1 1/3 hope this helps

Step-by-step explanation:

8 0

2 years ago