All categories

3 years ago

I need help ASAP please

Mathematics

1 answer:

pychu [463]3 years ago

3 0

The answer is 1,7,21,35,35,21,7,1

You might be interested in

How many nines are in 63?

dem82 [27]

Answer:

Step-by-step explanation:

9×7 = 63

8 0

3 years ago

The second angle in a triangle is one third as large as the first. The third angle is two thirds as large as the first. Find the

Zielflug [23.3K]

First angle 90 degrees

Second angle 30 degrees

Third angle 60 degrees

6 0

3 years ago

1.3 to the second power

Ronch [10]

1.69 is 1.3 to the second power

7 0

3 years ago

Read 2 more answers

What is the missing number in the expression 3(q+7)=27

Murljashka [212]

Answer:

Step-by-step explanation:7+2 is 9 and 9x3 is 27

3 0

3 years ago

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago