Mathematics, 30.01.2020 20:45 demeckoferguson

Factor the four-term polynomial.

mn - 15 + 3m - 5n

(m + 3)(n - 5)
(n - 3)(m - 5)
(n + 3)(m - 5)

Answers: 2

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Answer from: sanji8442

(n + 3) • (m - 5) is the correct answer and I hope this helped you out.

Answer from: karleebowling316

Option (c) is correct.

The factored form of four term polynomial mn - 15 + 3m - 5n is (m- 5)(n + 3)

Step-by-step explanation:

Given a four term polynomial as mn - 15 + 3m - 5n

We have to factorize the given polynomial mn - 15 + 3m - 5n.

Consider the given polynomial mn - 15 + 3m - 5n

factorization is the process of writing an expression in factors such that when we multiply them we get back the same expression.

Consider mn - 15 + 3m - 5n

We factorize it by grouping terms,

Grouping term is the rearrangement of term such that we can take some term common.

We will interchange - 15 and 3m , we get,

⇒ mn + 3m - 5n - 15

Taking m common from first two term and -5 common from last two term , we have

⇒ m(n + 3) - 5(n + 3)

⇒ (m- 5)(n + 3)

Thus the factored form of four term polynomial mn - 15 + 3m - 5n is (m- 5)(n + 3)

Option (c) is correct.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

The scale factor of what ?

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Factor the four-term polynomial.

mn - 15 + 3m - 5n

(m + 3)(n - 5)
(n -...