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SpyIntel [72]
3 years ago
6

How to add and subtract polynomials in standard form

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

To add polynomials, simply add any like terms together ... so what is a like term?

Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same.

In other words, terms that are "like" each other.

To subtract Polynomials, first reverse the sign of each term we are subtracting (in other words turn "+" into "-", and "-" into "+"), then add as usual.

Hope this helped you! (:

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The easiest way it to solve it.
{x}^{2}  + 5x + 2 = 0
You have
\rho = 25 - 4 \times 1 \times 2 = 17
Thus
x =  \frac{ - 5 \pm \sqrt{17} }{2}
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I've been looking in the study guide but can't find how to solve it
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PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)
Volgvan

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3x = 4 ( add 3x to both sides )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 3x - 3 ← equation in slope- intercept form

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Select the inequality that corresponds to the figure:
vivado [14]

Answer:

C. 2x-y>-7

Step-by-step explanation:

The Line is not part of the region since is drawn in the graph using a dotted line, but we still need to find its equation.

The equation of a line is y=mx+b, where 'm' is the slope.

'm' can be obtained using the following formula.

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

To find the slope, as well 'b' we need points from the line, those will be (-6,-5), (0,7) as (x2,y2) and (x1,y1) respectively

Evaluating those point in the formula we have 'm' =2

Using now the above result and the point (0,7) in the equation y=mx+b, we obtain the value for 'b'.

7=2*0+b7

b=7

Hence our line is y=2x+7, and if we write it in standard form we obtain the following> y-2x=7.

Now, since our line is not part of the region, and the region is below that line, there is the < sign.

Hence the inequality that corresponds to the figure is y-2x<7 or, if we multiply by -1 (changin orientation of signs)   2x-y>-7

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