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kolbaska11 [484]
3 years ago
7

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. Which trinomial did she factor? x2 + 4x –

12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12

Mathematics
2 answers:
max2010maxim [7]3 years ago
5 0

The correct answer is x2 – 4x – 12

Valentin [98]3 years ago
4 0

Answer:

x² – 4x – 12

Step-by-step explanation:

We can see in the vertical edge of the model that one factor is (x+2).  In the horizontal edge of the model, the other factor is (x-6).

Multiplying the two factors, the trinomial is

(x+2)(x-6) = x(x)-6(x)+2(x)+2(-6) = x²-6x+2x-12

Combining like terms, we have

x²-4x-12

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I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
Arthur is interested in the effects of sleep deprivation usage on number of calories consumed. He asks a group of 20 college stu
Greeley [361]

Answer:

Arthur knows that there is a difference among the groups somewhere, but he does not know where

Step-by-step explanation:

An ANOVA test is a test to find out whether the results of an experiment or a survey are significant or not. ANOVA test helps the researcher or the experimenter to decide whether they reject the null hypothesis or accept the alternate hypothesis in the experiment. In ANOVA test, the experimenter wants to find if there is a difference between them or not.

In the context, Arthur is doing a study and he wishes to find out effect of a sleep deprivation on the number of the calories that people consumed. He collects some data from his subject group from the sleep lab and after running the ANOVA test, he finds out that he can reject the null hypothesis. So on this basis, Arthur knows that there is some basic difference among the members of the group somewhere, but he does not know where actually the difference is.

3 0
3 years ago
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without loo
blagie [28]

Answer:

1/26

Step-by-step explanation:

Total no. of tiles = 26

In each tile , a different alphabet is written.

And we need 3 tiles (in which A , B & C are written in it) in one try.

So the probability of choosing tiles with letters A , B & C ( in one try ) = 1/26

4 0
3 years ago
What graph represents the function f(x)= -x2+5?
ololo11 [35]
I hope it would helps

6 0
3 years ago
If 150 empty water bottles weigh 4.5 pounds what do you expect 90 water empty bottles to weigh?
MakcuM [25]
It's 2.7 pounds because I set up a proportion of 150 over 90 = 4.5 over X and multiplied 90 * 4.5 divided by 150
6 0
3 years ago
Read 2 more answers
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