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Gemiola [76]
3 years ago
10

Tyrone factored the polynomial completely. What is the value of b? 12x^4+30x^3+4x^2+10x

Mathematics
2 answers:
kompoz [17]3 years ago
4 0

Answer:

B=3

Step-by-step explanation:

We have been given an expression 12x^4+30x^3+4x^2+10x.

Let us factor our given expression to answer the given problem.

Factor out 2x from all terms:

2x(6x^3+15x^2+2x+5)

Now, we will make two groups of 6x^3+15x^2+2x+5 as shown below:

2x((6x^3+15x^2)+(2x+5))

2x((6x^3+15x^2)+(2x+5))

Factor out 3x^2 from 1st group:

2x((3x^2(2x+5))+(2x+5))

2x(3x^2+1)(2x+5)

Upon comparing 2x(3x^2+1)(2x+5) with Ax(Bx^2+1)(2x+5), we can see that A=2 and B=3.

Therefore, the value of B is 3.

Arlecino [84]3 years ago
3 0
The value of B = 2x (3x^2 + 1) (2x + 5)

Given: 12x^4 + 30x^3 + 4x^2 + 10x

Req'd: B = ?

Sol'n:

*use elimination

solving for B:

= 2x (6x^3 +15x^2 + 2x +5)
= 2x (3x^2(2x + 5 +2x +5)
= 2x (3x^2 + 1) (2x + 5)
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