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2 years ago

Factor: 21x^3+6x^2+7x+2 I will give Brainliest to the first person :) please show all work

Mathematics

1 answer:

Liula [17]2 years ago

3 0

Answer:

(3x^2+1)*(7x-2)

Step-by-step explanation:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

(((21 • (x3)) - (2•3x2)) + 7x) - 2

STEP

Equation at the end of step

(((3•7x3) - (2•3x2)) + 7x) - 2

STEP

Checking for a perfect cube

3.1 21x3-6x2+7x-2 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 21x3-6x2+7x-2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 7x-2

Group 2: 21x3-6x2

Pull out from each group separately :

Group 1: (7x-2) • (1)

Group 2: (7x-2) • (3x2)

-------------------

Add up the two groups :

(7x-2) • (3x2+1)

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Step-by-step explanation:

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Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$