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