Answer:
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
Step-by-step explanation:
2x² – x – 10
The equation above can be factorised as follow:
2x² – x – 10
Multiply the first term (i.e 2x²) and the last term (i.e –10) together.
2x² × (–10) = –20x²
Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).
The factors are 4x and –5x.
Next, replace –x in the equation above with 4x and –5x. This is illustrated below:
2x² – x – 10
2x² – 5x + 4x – 10
Next, factorise
2x² – 5x + 4x – 10
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
