All categories

3 years ago

If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered?

Mathematics

2 answers:

kupik [55]3 years ago

8 0

The Answer Is <span>factor by grouping</span>

ZanzabumX [31]3 years ago

6 0

Answer:

Factor by grouping

Step-by-step explanation:

We are given that a polynomial has four terms

$3x^3+5x+6x^2+10$

We have to find which factoring method can be used .

The given polynomial is cubic.

Rearrange the terms then, we get

$3x^3+6x^2+5x+10$

$3x^2(x+2)+5(x+2)$

$(x+2)(3x^2+5)$

The method which used there is factor by grouping.

Answer: Factor by grouping

You might be interested in

Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.

insens350 [35]

Answer:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

Step-by-step explanation:

Given

$p(x) = \frac{x^2-2x-3}{x+2}$ -- Missing from the question

Required

The behavior of the function around its vertical asymptote at $x = -2$

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

Expand the numerator

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

Factorize

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

Factor out x + 1

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

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

$x -> -2^{-}$ Say x = -3

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

$p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12$

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

$x->-2^{-}, p(x)->-\infty$

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: $x>-2$

Say x = -2.1

$p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1$

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

$x->-2^{+}, p(x)->-\infty$

So, the behavior is:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

6 0

3 years ago

you roll a 6-sided die with faces numbered 1 through 6, and toss a coin what is the probability of rolling a 2 or getting heads

KatRina [158]

Answer:

2/3

Step-by-step explanation:

You have 6 possible outcomes. Getting 1 outcome is 1/6. You have 2 possible outcomes. Getting 1 outcome is 1/2.

Add 1/2 and 1/6 to get 2/3

5 0

3 years ago

20 to 8 in simpliest form

Mashcka [7]

Answer:

in it's lowest form its 5/2

8 0

2 years ago

Find the equivalent percent for ¾

Arlecino [84]

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

8 0

3 years ago

Read 2 more answers

What is the circumference of the circle is the top is 6

kaheart [24]

C = d × pi
C = 6 × 3.14
C = 18.84

7 0

3 years ago