Question

Factorise t2 – 5t + 6 by using the factor theorem.​

Answer 1

Step-by-step explanation:

Explanation:

In a trinomial with the degree

2

and with

1

as the leading coefficient, you need to find two numbers that add up to the second term and have a product that is the third term.

In this trinomial, the sum (second term) is

−

5

and the product (third term) is

6

.

The numbers

−

2

and

−

3

satisfy the terms.

Therefore,

t

2

−

5

t

+

6

=

(

t

−

2

)

(

t

−

3

)

.