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2 years ago

Which product of prime polynomials is equivalent to 3x4 – 81x?

Mathematics

2 answers:

adelina 88 [10]2 years ago

5 0

Given:

The expression is

$3x^4-81x$

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

$3x^4-81x$

Taking out the common factors, we get

$=3x(x^3-27)$

It can be written as

$=3x(x^3-3^3)$

$=3x(x-3)(x^2+3x+3^2)$ $[\because a^3-b^3=(a-b)(a^2+ab+b^2)]$

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

$=3x(x-3)(x^2+3x+9)$

Therefore, the correct option is B.

Alekssandra [29.7K]2 years ago

3 0

Answer:

It's B

Step-by-step explanation:

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Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

5 0

2 years ago

Whats the Approximate volume of the cylinder below in cubic centimeters?? Plz help

Sphinxa [80]

Answer:

Volume of a cylinder = 549.5 cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

π = 3.14

Radius, r = 5 cm

Height, h = 7 cm

Volume of a cylinder = πr²h

= 3.14 * (5 cm)² * 7 cm

= 3.14 * 25 cm² * 7 cm

= 549.5 cm³

Volume of a cylinder = 549.5 cm³

3 0

2 years ago

Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

m_a_m_a [10]

Answer:

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

Equivalent expressions are those that have same values for any value of variable substituted.

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

$14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22$

Now put t=2, into 3t-14t

$3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\$

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

6 0

2 years ago

What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?

Arada [10]

Hello,

y=k*(x-2)(x-4)
and is passing throught (3,1)
==>1=k*(3-2)(3-4)==>k=-1

y=-(x-2)(x-4) is an answer

4 0

2 years ago

Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe

djyliett [7]

Answer: 231

Explanation:

Liwen Celina

5x 6x

5x - 21 = $(\frac{2}{3})$ 6x

5x - 21 = 4x

-4x +21 -4x +21

x = 21

Liwen: 5x = 5(21) = 105

Celina: 6x = 6(21) = 126

Total: 231

6 0

2 years ago