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3 years ago

Factor the polynomial completely.

Mathematics

2 answers:

Shalnov [3]3 years ago

5 0

B. The answer is letter B.

Igoryamba3 years ago

4 0

We can simplify this by separating this into 2 sections. 2x^3 + 16x^2 and 7x+56. The GCF of 2x^3 + 16x^2 is 2x^2 and the GCF of 7x+56 is 7. When we factor out these numbers we are left with (x+8) for both. The simplified equation is (2x^2 + 7)(x+8)

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1. Is x + 8 a factor of b(x) = x3 + 18x2 + 80x? Determine using synthetic

serious [3.7K]

Answer:

If x+8 is a factor, divide by -8.

-8 1 18 80

-8 -80

_______________

1 10 0

It is a factor because there is no remainder.

Step-by-step explanation:

5 0

3 years ago

Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

True [87]

Answer:

(6, - $\frac{1}{2}$ )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = $\frac{2}{-4}$ = - $\frac{1}{2}$

Solution is (6, - $\frac{1}{2}$ )

3 0

3 years ago

Read 2 more answers

8) x - 5y = -15<br> x - 2y = -12

Alex787 [66]

Answer:

If solving for X. (didn't know if you were solving for X or Y.

x=2y-12

x=5y-15

Step-by-step explanation:

x-2y=-12

+2y on both sides

x=2y-12

x-5y=-15

+5y on both sides

x=5y-15

6 0

3 years ago

Read 2 more answers

Help me out<br>14 < n - 22

Kruka [31]

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Suppose the length of segment BE is 11 cm. Which is the BEST ESTIMATE for segment GH?

JulijaS [17]

Answer: C) 5.5 cm.

Step-by-step explanation:

From the given , it can be clearly seen that in triangle DBE , G and H are the midpoints of segment DB and DE respectively.

Also, GH is parallel to BE. [By Converse of Basic proportionality theorem]

Length of BE= 11 cm.

Further more,

$\dfrac{DB}{DG}=\dfrac{BE}{GH}\\\\\Rightarrow\dfrac{2DG}{DG}=\dfrac{11}{GH}\ \ [{DG=GB,\therefore\ DB=2DG }]$

$\Rightarrow\ \dfrac{2}{1}=\dfrac{11}{GH}\Rightarrow\ GH=\dfrac{11}{2}=5.5\text{ cm}$

Hence, the BEST ESTIMATE for segment GH is 5.5 cm.

Note :

Converse of Basic Proportionality Theorem says that when a line (or a segment) divides any two sides of a triangle in equal proportion then the line ought to be parallel to the remaining third side.

7 0

4 years ago