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1 year ago

Determine if (x+1) is a factor 4x^2 + 2x - 5Use synthetic division

Mathematics

1 answer:

ikadub [295]1 year ago

6 0

Given

$4x^2+2x-5$

Divide it by (x+1) using synthetic division, as shown below

The green line is a minus sign.

Thus,

$\Rightarrow4x^2+2x-5=(x+1)(4x-2)-3$

Therefore, since the remainder is different than zero, (x+1) is not a factor of 4x^2+2x-5

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BC =using the Distance Formula

riadik2000 [5.3K]

Answer: Option A: 5

Step-by-step explanation:

If yo have the pairs (a, b) and (c, d)

The distance between these two points is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between points B and C.

We can see that the coordinates of each one are:

point B: (-5, 5)

Point C: (-1, 2)

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3 years ago

Use the long division method to find the result when 9x^3+18x^2+20x+169x 3 +18x 2 +20x+16 is divided by 3x+43x+4.

fenix001 [56]

Given:

Dividend = $9x^3+18x^2+20x+16$

Divisor = $3x+4$

To find:

The quotient and remainder by using the long division method.

Solution:

Using the long division method, divide the polynomial $9x^3+18x^2+20x+16$ by $3x+4$ as shown below:

$3x+4 |\overline{9x^3+18x^2+20x+16}|3x^2+2x+4\\$

$9x^3+12x^2\\\underline{(-)\quad (-)\quad \quad \quad}$

$0+6x^2+20x$

$6x^2+8x\\\underline{(-)\quad (-)\quad \quad \quad}$

$0+12x+16$

$12x+8\\\underline{(-)\quad (-)}$

$\underline{\quad 0\quad}$

Therefore, the quotient is $3x^2+2x+4$ and the remainder is 0.

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3 years ago