Divide (3x^2-14x-5) by (x-5)

3x+1

Step-by-step explanation:

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

0

.

x

-

5

3

x

2

-

14

x

-

5

Divide the highest order term in the dividend

3

x

2

by the highest order term in divisor

x

.

3

x

x

-

5

3

x

2

-

14

x

-

5

Multiply the new quotient term by the divisor.

3

x

x

-

5

3

x

2

-

14

x

-

5

+

3

x

2

-

15

x

The expression needs to be subtracted from the dividend, so change all the signs in

3

x

2

−

15

x

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

Pull the next terms from the original dividend down into the current dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Divide the highest order term in the dividend

x

by the highest order term in divisor

x

.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Multiply the new quotient term by the divisor.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

+

x

-

5

The expression needs to be subtracted from the dividend, so change all the signs in

x

−

5

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

0

Since the remander is

0

, the final answer is the quotient.

3

x

+

1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

0

.

x

-

5

3

x

2

-

14

x

-

5

Divide the highest order term in the dividend

3

x

2

by the highest order term in divisor

x

.

3

x

x

-

5

3

x

2

-

14

x

-

5

Multiply the new quotient term by the divisor.

3

x

x

-

5

3

x

2

-

14

x

-

5

+

3

x

2

-

15

x

The expression needs to be subtracted from the dividend, so change all the signs in

3

x

2

−

15

x

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

Pull the next terms from the original dividend down into the current dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Divide the highest order term in the dividend

x

by the highest order term in divisor

x

.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Multiply the new quotient term by the divisor.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

+

x

-

5

The expression needs to be subtracted from the dividend, so change all the signs in

x

−

5

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

0

Since the remander is

0

, the final answer is the quotient.

3

x

+

1

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.