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d1i1m1o1n [39]
3 years ago
11

Factor the trinomial below. 4x^2+23-6. which two binomials are factors of the trinomial

Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

4x - 1 and x + 6 are the factors of given Trinomial

Step-by-step explanation:

The given Trinomial is:

4x^{2}+23x-6

We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)

So, the above expression can be written as:

4x^{2}+23x-6\\\\ =4x^{2}+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)

Therefore, 4x - 1 and x + 6 are the factors of given Trinomial

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According tot he rational root theorem, which statement about f(x)=12x^3-5x^2+6x+9 is true?
vampirchik [111]

Answer:

If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).

3 0
3 years ago
Algebra public opinion polls reported in newspapers are usually given with a margin of error. for example, a poll with a margin
sweet-ann [11.9K]

Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + 6.3% * 51% = 54.213%

Solution:

Margin of error: E=6.3%

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - E * 51%

m=51% - 6.3% * 51%

m=51% - 51% * 6.3 / 100

m=51% - 3.213%

m=47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + E * 51%

M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

M=51% + 3.213%

M=54.213%


8 0
3 years ago
A factory produces 200 articles a year. How many more articles will the factory produce in a year if labor productivity increase
Gnoma [55]

Answer:

Its 290 even though you got the answer im out here to help

5 0
2 years ago
Read 2 more answers
Find the annual infiltration rate for the nearest 10th of a percent of a gallon of milk that increases the value from $1.51 to $
Leno4ka [110]

Answer:

7.429 cents

Step-by-step explanation:

Given that:

Price change = $1.51 to $2.03

Period of time = 7 years

Therefore, the annual inflation rate :

Difference in price / number of years

($2.03 - $1.51) / 7

$0.52 / 7

= 0.0742857 per year

= 0.0742857 * 100 (about 7.429 cents per year)

5 0
2 years ago
When multiplying two polynomials of degrees m and n, will the product be a polynomial? If so, explain, and state the degree.
vfiekz [6]
Yes.
The degree will be m+n
7 0
3 years ago
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