True or False: All statements of equality below are correct. Please help!!

Factor the expression 12x^2 +7x+1

Leona [35]

Answer:

$\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}$

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

$\sf\implies p(x)= 12x^2+7x+1$

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: Multiply the coefficient of x² with the constant term .

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: Look out for the possible factors of the number .

Here the obtained number is 12 . So the possible factors of 12 is

1 *12
-1*-12
2*6
-2*-6
4*3
-4*-3

Step3: Choose the factor whose sum is equal to the coefficient of the middle term .

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: After proper arrangements take out the common term and then factorise.

After suitable rearrangment we get ,

$\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}$

7 0

3 years ago

The scale factor of a large swimming pool to a small swimming pool is 0.12. The large swimming pool can hold 15000 m cubed of wa

Aleksandr-060686 [28]

The volume of the small pool is the product of the cube of the scale factor and the volume of the large pool. 25.92 m cubed. Hope this helps.

7 0

3 years ago

Read 2 more answers

-2(v-2)=-3-2v plz help its home work

Svetach [21]

-2(v-2)=-3-2v doesn't have a solution

3 0

3 years ago

A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the

Dmitry_Shevchenko [17]

Answer:

66.6%

Step-by-step explanation:

Step one

given

A coat at a store is originally priced at $54.99

The store marks down the price down to $32.99

Required

the percent decrease

Step two:

the percent decrease= change in price/ old price*100

the percent decrease= 54.99-32.99/54.99*100

the percent decrease= 22/ 32.99*100

the percent decrease= 0.666*100

the percent decrease= 66.6%

6 0

3 years ago

the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the p

Novosadov [1.4K]

Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this:
2P(Z<2)−1 To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.

3 0

3 years ago