Question

Factorise 6x²+11x+4 please

Answer 1

6x²+11x+4

6x² + 8x + 3x + 4

2x(3x+4) + 1( 3x + 4 )

(2x+1)(3x+4)

Answer 2

`(3x + 4)(2x + 1)`

Explanation:

We can factor the expression

`6x^2+11x+4`

using the grouping method.

First, multiply the coefficient on the x² term by the constant term.

6 × 4 = 24

Then, list out the factor pairs of the product.

24

1, 24

2, 12

3, 8

4, 6

If one of the pair's numbers add to the coefficient of the x term in the polynomial, then we can substitute in that pair of numbers for the x's in the expression.

In this case, the 3 and 8 pair add to 11, the x term's coefficient.

`6x^2+11x+4`

`6x^2 + 3x + 8x + 4`

Next, we can factor a term out of the first and last two terms of the polynomial.

`(6x^2 + 3x) + (8x + 4)`

`3x(2x + 1) + 4(2x + 1)`

Finally, we can apply the distributive property to the expression to rewrite it in factored form.

`(3x + 4)(2x + 1)`