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3 years ago

Which of the following is the complete list of roots for the polynomial function (x)= (x2+bx+3)(x+6x+13)?

Mathematics

1 answer:

shusha [124]3 years ago

4 0

Answer:

if i got you question right then its x=(-13/7) x=(-3/(2+b))

Step-by-step explanation:

to find the roots you need to make it equal to 0.

(x+6x+13)(2x+bx+3) =0

(7x+13)((2+b)x+3) =0

now there are 2 cases:

-> 7x+13=0 7x=(-13) x=(-13/7) solved

-> (2+b)x+3=0 (2+b)x=(-3) x=(-3/(2+b)) solved

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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

$\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c$

Then we have

$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

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2 years ago

Help i really need help plss

Andrei [34K]

Answer:

Modern:عشرين

Answer:

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3 years ago

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total o

Licemer1 [7]

<span>d = miles from the airport to home.
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3 years ago

David made a scale model of the Sam Houston Statue. The statue has an actual height of 67 feet. David's model used a scale in wh

Y_Kistochka [10]

Answer:

6.7 inches

Step-by-step explanation:

the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.

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3 years ago

A right triangle has a height of 27 inches

ohaa [14]

Answer:

405 $inches^{2}$

Step-by-step explanation:

Area of a triangle = $\frac{1}{2}$ Base * Height

$\frac{1}{2}$ * 30* 27 = 405 $inches^{2}$

4 0

3 years ago

Read 2 more answers