All categories

3 years ago

Which of the binomials below is a factor of this trinomial?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

6 0

Kon'nichiwa!

To Acquire=>the binomials below is a factor of

$x {}^{2} - 5x - 14$

Step-by-step explanation:

By Middle splitting method

=>

 $x {}^{2} - 5x - 14 \\ = x {}^{2} + 2x - 7x - 14 \\ = x(x + 2) - 7(x + 2) \\ = (x - 7)(x + 2)$ 

Hence, (x-7) Is the required answer

Hope it Helps

Have a good day Ahead

Nitella [24]3 years ago

5 0

Answer:

Let's find it Out

To Acquire=>A Binomial out of the given options which is a factor of trinomial

Solution => 

 $x {}^{2} - 5x - 14 \\ = x {}^{2} + 7x - 2x - 14 \\ = x(x + 7) - 2(x + 7) \\ = (x - 2)(x + 7)$ 

<h2>Hence , (x-2) is the correct answer</h2>

You might be interested in

Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18

melisa1 [442]

Should be B the total numbers of boxes filled with reams

7 0

3 years ago

Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a

bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

= $\frac{25}{100}\times m$

= $\frac{m}{4}$

Remaining marbles with Williams = m - $\frac{m}{4}$

= $\frac{3m}{4}$

He gave marbles to his brother = $\frac{1}{6}$ th of the remaining marbles

= $\frac{1}{6}\times \frac{3m}{4}$

= $\frac{m}{8}$

Remaining marbles after giving marbles to his brother = 120

Therefore, $\frac{3m}{4}-\frac{m}{8}=120$

$\frac{6m}{8}-\frac{m}{8}=120$

$\frac{5m}{8}=120$

m = $\frac{120\times 8}{5}$

m = 192

Number of marbles with Williams at the starting = 192

5 0

3 years ago

Based on the table, which best predicts the end behavior of the graph of f(x)?

Iteru [2.4K]

Answer:

approaching negative infinity

Step-by-step explanation:

Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.

3 0

2 years ago

Read 2 more answers

Consider the quadratic equation x2 − 6x = 16.

e-lub [12.9K]

Answer:

C) (x − 3)2 = 25
C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

___

2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

4(x +5)² = 180 . . . . . . . . . . . written as a square

8 0

3 years ago

Find the length of X in simplest radical form with a rational denominator

Darya [45]

Answer:

$x = \sqrt 6$