All categories

2 years ago

suppose that a polynomial contains four terms explain how to use factoring by grouping to factor the polynomial

Mathematics

2 answers:

____ [38]2 years ago

7 0

Answer:

Factoring by grouping effectively breaks down the polynomial into easy-to-solve smaller polynomials. The goal is to isolate each term in a separate group and then add them together to finally get the original polynomial.

Step-by-step explanation:

The first thing we'll do is look for two numbers that multiply together to give -9. These will be our "groupings". Once we find these, we'll start grouping other terms in an alternating fashion until we can't break any more of the terms apart.

We find 2 and 3 which when multiplied give -6, so these are our groupings for this problem:

2x3(-9)=-18 + 5x(-9)=-45 + 4

Taya2010 [7]2 years ago

3 0

Answer: a four term polynomial is factored by groupingsuppose that a polynomial contains four terms explain how to use factoring by grouping to factor the polynomial

Step-by-step explanation:

You might be interested in

Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

zalisa [80]

We have that
A(-2,-4) B(8,1) <span>

let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

7 0

3 years ago

Can someone please help me with this question.

rusak2 [61]

25x25+20x25+20x15+15x25=1800 the answer is D.

5 0

3 years ago

Put these points into an equation IN STANDARD FORM!!!!!!<br><br>(0,2) and (8,0)

zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8