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rodikova [14]
3 years ago
12

Which of the binomials below is a factor of this trinomial? x2 + 5x + 6

Mathematics
2 answers:
valentina_108 [34]3 years ago
8 0

Answer: x+3

Step-by-step explanation:

lianna [129]3 years ago
5 0

Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x

x² = x * x

6 = 3 * 2

(x + 3)(x + 2) are your binomials.

To solve for x, set each parenthesis = 0

x + 3 = 0

x + 3 (-3) = 0 (-3)

x = -3

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = -2

x = -3, -2

hope this helps

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Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)
Dafna11 [192]

Answer:

a.  sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b.  (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know  sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r  and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2)  and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that  sin theta = y/r  and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know  r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0
3 years ago
Two less than three times a number is 28
Alenkinab [10]

Answer:

x = 10

Step-by-step explanation:

Two less than three times a number is 28

Let's break it up.

2 less than: -2

3 times a number: 3x (x is representing a number")

is 28: = 28

So, let's put that together.

Two less than three times a number is 28

3x - 2 = 28

Now, let's solve this.

First, let's isolate the x.

To do this, we must add 2 to each side.

3x - 2 = 28

+2           +2

3x - 2 + 2 = 3x

28 + 2 = 30

We have 3x = 30

Now, we must simplify.

To do this, we must divide each side by 3.

This, in term, will tell us what x equals.

3x = 30

---    ----

3      3

3x/3 = x

30/3 = 10

x = 10

4 0
3 years ago
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