Question

Factorise 2x²+13x+6
5x²-9x+4
4x-3x-22

Answer 1

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

2

⋅

6

=

12

and whose sum is

b

=

−

13

.x

(

2

x

−

1

)

−

6

(

2

x

−

1

)

Factor the polynomial by factoring out the greatest common factor,

2

x

−

1

.

Answer 2

Step-by-step explanation:

2x²+13x+6

=2x²+12x+x+6

=2x(x+6)+1(x+6)

=(2x+1)(x+6)

5x²-9x+4

=5x²-5x-4x+4

=5x(x-1)+4(x-1)

=(5x+4)(x-1)