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3 years ago

Factoring trinomials: 8)-2x2 + 8x + 10 *

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Answer:

-2(x - 5)(x + 1)

Step-by-step explanation:

-2x² + 8x + 10

-2(x² - 4x - 5)

-2(x - 5)(x + 1)

frutty [35]3 years ago

3 0

Step-by-step explanation:

Hey, there!!

Let's do it simply, ok.

Given that,

$= - 2 {x}^{2} + 8x + 10$

Take (-2) common to make it easy.

$= -2( 2 {x}^{2} - 8x - 10)$

= -2{ x^2-(5-1)x -5}

Multily with x,

= -2 {x^2-5x+x-5}

Taking common,

= -2{x(x-5) +1(x-5)

= -2{(x+1)(x-5)}...is your required answer.

Hope it helps...

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(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

4 0

3 years ago

What value makes the equation true? 2(x-5)=20

SashulF [63]

2(x-5)=20

Divide both sides by 2 (division of property equality)

x - 5 = 10

Add 5 to both sides (addition of property equality)

x = 15

Answer

x = 15 is the solution

6 0

2 years ago

Question is in the picture:

Sholpan [36]

Its 5 times larger.

3 0

3 years ago

A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o

Sindrei [870]

Answer:

32*15 = 480

1500-480 = 1020

1020/10

102 races

Step-by-step explanation:

5 0

2 years ago

The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.

anyanavicka [17]

Answer:

-3.6

Step-by-step explanation:

Simplifying

7 + 3x + 4 = 0

Reorder the terms:

7 + 4 + 3x = 0

Combine like terms: 7 + 4 = 11

11 + 3x = 0

Solving

11 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0

0 + 3x = 0 + -11

3x = 0 + -11

Combine like terms: 0 + -11 = -11

3x = -11

Divide each side by '3'.

x = -3.666666667

Simplifying

x = -3.666666667

4 0

3 years ago