All categories

2 years ago

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)

Mathematics

2 answers:

iren2701 [21]2 years ago

8 0

Answer:

A and B are both 3.

Step-by-step explanation:

The given polynomial is $3x^4-18x^3+9x^2-54x$ .

We factor the GCF to obtain:

$3x(x^3-6x^2+3x-18)$

We factor further by grouping to get:

$3x[x^2(x-6)+3(x-6)]$

$3x(x^2+3)(x-6)$

We compare this to the given factored expression:

$3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)$

We must have A=3,B=3, C=-6

Harrizon [31]2 years ago

4 0

Answer:

The answer is B

Step-by-step explanation:

You might be interested in

On a cube, what proportion of the surface area is on each face, to the nearest percent?

Nookie1986 [14]

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

3 0

3 years ago

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p

k0ka [10]

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

$\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%$

So, the profit percentage is 33.34%.

7 0

2 years ago

A hiking club has 9 members. How many ways can they choose a president, vice president, secretary, and treasurer from among the

nydimaria [60]

$the\ variation\ without\ repetition:\\\\P(n;k)= \frac{\big{n!}}{\big{(n-k)!}} \\\\---------------------\\\\n=9\ \ \ and\ \ \ k=5\\\\\Rightarrow\ \ \ P(9;5)=\frac{\big{9!}}{\big{5!}}=\frac{\big{5!\cdot6\cdot7\cdot8\cdot9}}{\big{5!}}=3024\\\\Ans.\ there\ are\ 3024\ ways\ to\ choose.$

3 0

3 years ago

10 points

shtirl [24]

Answer:

Step-by-step explanation:

So eat taco is 2.74 and he bought 9 so now you know the tacos price. It time for the coffees price you are going to divide 22.27 and 4 and youll get your answer

5 0

3 years ago

Express in the form 1 : n give n as a simplifeid fraction 8 : 6

Paladinen [302]

Answer:

So, Simplified fraction of 8:6 is 4:3.

3 0

2 years ago