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2 years ago

Which of the binomials below is a factor of this trinomial? x2+12x+31 A. x+4 B.x-2 C. x+2 D. x-4

Mathematics

1 answer:

Feliz [49]2 years ago

7 0

(x+4) is a factor of this trinomial given , Option A is the right answer.

<h3>What is a Factor ?</h3>

A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.

The given trinomial is

x² +12x+32

x² + 8x +4x +32

x(x+8)+4 (x+8)

(x+8)(x+4)

From the given option Option A (x+4) is the right answer.

To know more about Factor.

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Simplify completely..........

vitfil [10]

Answer:

$\frac{x}{x-1}$

Step-by-step explanation:

$\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}$ $[ \ x^ 2- 1 = (x-1)(x + 1) \ ]$

$= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}$ $[\ Taking \ LCM \ ]$

$= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}$

<em><u>Finding LCM :</u></em>

Example :

$\frac{1}{6} + \frac{1}{3}$

6 = 2 x 3

3 = 1 x 3

$\frac{1}{2 \times 3} + \frac{1}{ 3}$ $= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}$

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

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

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

$\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}$

7 0

3 years ago

A class of 28 students has 13 boys and 15 girls. what is the ratio of boys to girls in the class?

IgorC [24]

28-13=15 so it would be 2

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2 years ago

A 0.5 kg block is moving at constant speed on a horizontal surface. the friction force acting on the block is 20N, calculate uk

AlexFokin [52]

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4 years ago

Karen earns $34,850 annually as an engineer. She single and supports her father. The state tax rate in her state is 3% of taxabl

Scorpion4ik [409]

Answer:

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Step-by-step explanation:

34,850 x .03 = 1,045.50

3 0

3 years ago

Graphic image of the kite jklm after a reflection across the line Y= 1

olchik [2.2K]

Answer: see image

<u>Step-by-step explanation:</u>

Draw the line y = 1. Count how many units away the point is from that line. Move that point the same number of units in the opposite direction to create the reflection.

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4 years ago

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