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

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

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

10x+3

Step-by-step explanation:

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.

I hope this helps~ Please let me know if you have additional questions about the answer.

Best of luck!

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

Step-by-step explanation:

Given the polynomial

[tex]3x^2+4x-4[/tex]

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

Polynomial: [tex]3x^2+4x-4[/tex]

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

[tex]3x^2+4x-4[/tex]

[tex]3x^2+6x-2x-4[/tex]

[tex]3x(x+2)-2(x+2)[/tex]

[tex](x+2)(3x-2)[/tex]

The above two are the factors of the given polynomial.

Hence, from the given options

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

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

Answer

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.

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)

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

Step-by-step explanation:

Given the polynomial

[tex]3x^2+4x-4[/tex]

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

Polynomial: [tex]3x^2+4x-4[/tex]

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

[tex]3x^2+4x-4[/tex]

[tex]3x^2+6x-2x-4[/tex]

[tex]3x(x+2)-2(x+2)[/tex]

[tex](x+2)(3x-2)[/tex]

The above two are the factors of the given polynomial.

Hence, from the given options

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

The correct answer is C

Hope this help but the answer is B❤❤❤