# Select one of the factors of 3x^2+10x+3

Select one of the factors of 3x^2+10x+3

## This Post Has 9 Comments

1. dlatricewilcoxp0tsdw says:

10x+3

Step-by-step explanation:

2. abosse144 says:

Hello there!

The correct answer is option C

Although, (3x -2) is not the complete factor of 3x^2 + 4x -4.

The complete factor is (3x - 2)(x + 2)
So when we look at the options, we can see that option C is the correct option.

Best of luck!

(3x-2) is the factor of given polynomial.

Step-by-step explanation:

Given the polynomial

$3x^2+4x-4$

we have to select one factor of above polynomial from the given choices.

Polynomial: $3x^2+4x-4$

By middle term splitting method we find the factors of above polynomial.

$3x^2+4x-4$

$3x^2+6x-2x-4$

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

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

The above two are the factors of the given polynomial.

Hence, from the given options

(3x-2) is the factor of given polynomial.

4. Thejollyhellhound20 says:

( 3 x + 1 ) ( x + 3 )  is the factorised form for the expression.

5. ooo712772 says:

Find out the factors of 3x² + 4x - 4.

To prove

As given in the question

= 3x² + 4x - 4

simplify the above

= 3x² + 6x - 2x - 4

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

= (3x - 2) ( x - 2)

The factors of the 3x² + 4x - 4 are  (3x - 2) ( x - 2) .

and from the option given in the question (3x -2 ) is the factor of the  3x² + 4x - 4.

6. sclifton2014 says:

3x^2 + 4x -4

ax^2 + ax + c

a = 3
b = 4
c = -4

Start by multiplying a * c together

a * c = 3 * - 4 = - 12

Find two number that multiply to -12 and also add up to 4

6 and - 2 can be an option because ...

6 * - 2 = - 12
6 - 2 = 4

Now you rewrite the equation to solve for factors...

3x^2 + 6x - 2x - 4

Factor out like terms...

3x ( x + 2 ) - 2 ( x + 2)

THE FACTORS OF THIS QUADRATIC EQUATION ARE ( x + 2) ( 3x - 2)

7. cgratz5106 says:

(3x-2) is the factor of given polynomial.

Step-by-step explanation:

Given the polynomial

$3x^2+4x-4$

we have to select one factor of above polynomial from the given choices.

Polynomial: $3x^2+4x-4$

By middle term splitting method we find the factors of above polynomial.

$3x^2+4x-4$

$3x^2+6x-2x-4$

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

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

The above two are the factors of the given polynomial.

Hence, from the given options

(3x-2) is the factor of given polynomial.

8. isabelcrosabal says: