Question

What are the factors of 3x^2 + 13x + 4

Answer 1

Polynomials are factored by their roots. That is, when f(x) = 0, the values of x can be used to factor the polynomial.

Answer 2

To find the root of a quadratic equation in the form of \(ax^2+bx+c\), it's easiest to use the quadratic equation to find the roots.

Answer 3

Once you have found the roots, the polynomial is factored as \((x-r_1)(x-r_2)=0\).

Answer 4

So if the roots are 1 and -2, then it's factored as \((x-1)(x+2)\)

Answer 5

????? i dont get it

Answer 6

there are multiple ways to factor a polynomial

Answer 7

what method are you supposed to use?

Answer 8

Hint:
3*4=12
1*12=12
1+12=13.

Answer 9

Do you know how to do factor-by-grouping?

\( 3x^2 + 13x + 4 = 3x^2+12x+x+4\)

Answer 10

no i dont understand it

Answer 11

Factoring a quadratic trinomial is the reverse of multiplying linear binomials using the FOIL method (First Outer Inner Last)

Answer 12

If you multiply something like (x+3(2x-2), you get 2x^2 -2x +6x -6.
After combining like terms, you'll have the trinomial, 2x^2+4x-6.

You can see that if you do it in reverse, you can find two numbers that multiply to make 12 (2*6), that add to make 4.

Answer 13

(1x+4)(3x+1) =3x^2+1x+12x+4=
3x^2+13x+4