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3 years ago

what is the second step when factoring the trinomial ax ^2+bx+c after looking for a common factor in each term brainly

Mathematics

2 answers:

trapecia [35]3 years ago

7 0

Answer:

D. Factor the simplified trinomial.

Step-by-step explanation:

We are given a trinomial $ax^2 + bx + c.$ .

We are given the first step, that is we have to find the common factor in each term.

After taking out the common factor out, then second step would be we need to factor the simplified trinomial.

So the answer is D. Factor the simplified trinomial.

For instance,

Consider the trinomial $2x^2 + 6x + 4$

Step 1: Look at the common factor in each term.

Which is 2. Now factor 2, we get

2( $x^2 + 3x + 2)$

Now we got the simplified trinomial $x^2 + 3x + 2$

Step 2: Now we have to factor the simplified trinomial.

$x^2 + 3x + 2 = (x + 1)(x +2)$

So the answer is D) Factor the simplified trinomial.

fiasKO [112]3 years ago

4 0

Answer

A) Factor out the common factor.

Explanation

Factorization is a process of looking for numbers that can be multiplied to get another number. It is expressing number as a product of other numbers.

The first step involves looking for numbers factors and the second one is factoring the common factors.

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$ .

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$ , and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, $y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$ , and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0

1 year ago

What is 41687 rounded to the nearest Highest Place

erik [133]

Answer:

40,000

Step-by-step explanation:

8 0

2 years ago

HELP ME OUT PLS!!!! Which Venn diagram is correct?

ira [324]

Answer:

Step-by-step explanation:

A is incorrect because -3.1 is rational.

B is incorrect because 1.14 repeating is rational.

C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.

D is incorrect because pi is irrational.

8 0

2 years ago

Read 2 more answers

Find the equation of a line passing through points (-7, -10) , (-5, -20)

LuckyWell [14K]

You want to find the equation for a line that passes through the two points:

(-7,-10) and (-5,-20).

First of all, remember what the equation of a line is:

y = mx+b

here, m is the slope, b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through.

Consider (-7,-10) as point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-7 and y1=-10.

Consider (-5,-20), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=-20.

Now, just plug the numbers into the formula for m above, like this:

m= (-20 - -10)/(-5 - -7)

m= -10/2

m=-5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-7,-10). When x of the line is -7, y of the line must be -10.

(-5,-20). When x of the line is -5, y of the line must be -20.

Because line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-7,-10) and (-5,-20).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want.The answer will be the same:

(-7,-10). y=mx+b or -10=-5 × -7+b, or solving for b: b=-10-(-5)(-7). b=-45.

(-5,-20). y=mx+b or -20=-5 × -5+b, or solving for b: b=-20-(-5)(-5). b=-45.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points (-7,-10) and (-5,-20) is y=-5x-45.

8 0

3 years ago

Expand and simplify (2x2 + 3)(4x + 5) - 8x(x - 2)

Bezzdna [24]

I think the answer is 2x+12

4 0

3 years ago