Mathematics, 27.01.2021 01:00 callmedarthvadorplz

Is (x + 2) a factor of
x^3 - 4x^2 + 2x - 3?

Answers: 1

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Answer from: bfell92

-2x3-4x2-6x

Final result :

-2x • (x2 + 2x + 3)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((0 - (2 • (x3))) - 22x2) - 6x

Step 2 :

Equation at the end of step 2 :

((0 - 2x3) - 22x2) - 6x

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

-2x3 - 4x2 - 6x = -2x • (x2 + 2x + 3)

Trying to factor by splitting the middle term

4.2 Factoring x2 + 2x + 3

The first term is, x2 its coefficient is 1 .

The middle term is, +2x its coefficient is 2 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is 2 .

-3 + -1 = -4

-1 + -3 = -4

1 + 3 = 4

3 + 1 = 4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-2x • (x2 + 2x + 3)

Step-by-step explanation:

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

Answer from: Quest

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

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