Why is it useful to factor out the GCF first when factoring?What signals you that factoring by grouping is the best method to use when factoring a problem? How would you know if it is factorable or prime?

Answers

Answer 1

Answer:

Factor by grouping: 6x2 + 3x + 20x + 10.

This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

3x(2x + 1) + 10(2x + 1)

These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:

(3x + 10)(2x + 1)

Answer 2

Answer:
Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.

Step 2: Factor out (or divide out) the greatest common factor from each term.

Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.

Step 2: Factor out (or divide out) the greatest common factor from each term.

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Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

$3 x^(2) + x + 10 = 0$
$x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}$
$x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}$
: . x = \frac{-1 + \sqrt{-119} }{6} OR $x = (-1 - √(-119) )/(6)$

Thus the roots or the solutions to this equation are imaginary because the discriminant $√(-119)$ is negative and a negative number is undefined when rooted.

What are numbers that are not equal to 4.0

Answers

Answer:

4.1 and 4.2

Step-by-step explanation:

4.1 & 4.2

Well the person above was correct

What is the measure of how much surface an object has?a. mass
c. region
b. volume
d. area

Answers

the answer is D. area

Answer:

D area

Step-by-step explanation:

What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5

Answers

f′(x)=5 × 1/(xln2)
use derivation

f′(x)=5 × 1/(xln2)
u need to use

There are 50 teens in a work program. The circle graph shows the percentage of workers who have 0, 1, 2, 3, and 4 siblings.How many teens in the program have no siblings?

Answers

so there are 50 teens total
16% have no sibblings

so we must find 16% of 50
16%=16/100=0.16

'of' can be translated as multiply so
0.16 times 50=8
there were 8 teens who have no sibblings

ok so there are 50 teens
16% of the 50 teens don't have any siblings
16% of 50 means you multiply
of means multiplication
you can't multiply 16*50
16% as a decimal is.16 ( 16/100=.16=16% )
so now you multiply .16*50=8
there are 8 teens out of 50 who have no siblings
hope this helps ;)

Four brothers went to a dance. As they left, each one of the brothers accidentally took a hat belonging to another brother and a coat belonging to another, different brother. Maurice took the coat belonging to the brother whose hat got taken by Phil, while Phil's coat got taken by the brother who took Maurice's hat. Serge took John's hat. Whose coats and hats were taken by Maurice and Phil. Please tell me how you got your answer :)

Answers

It can not be john since his hat is already taken by serge and I dont think Phil and Maurice would share his coat.
It must be the hat and coat of serge because as I already said Johns hat is already taken away by serge and Serge is the only person left that has not anything taken away yet. That is only true if Maurice and Phil do not take their own stuff. But it says they accidently grab the stuff of their brothers so it must be Serge´s.

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Add and simplify 9/16 + 1/2 =

Identify terms, like terms, coefficients, constant terms then simplify the expression

Please help! Question above