Factor by Grouping and Trinomials L3.5

Front

What is the first step in factoring a trinomial like x² + 10x + 16?

Back

Multiply 'a' (1) by 'c' (16) to get the multiplication clue, which is 16.

Front

What does it mean if a trinomial is described as 'prime'?

Back

It means the trinomial cannot be factored into simpler binomials.

Front

What is the GCF of the trinomial 28x² - 120x + 32?

Back

The GCF is 4.

Front

Factor the trinomial x² - 17x + 72.

Back

(x - 8)(x - 9)

Front

What are the two numbers that multiply to 16 and add to 10 in the trinomial x² + 10x + 16?

Back

The numbers are 2 and 8.

Front

In the trinomial ax² + bx + c, what do 'a', 'b', and 'c' represent?

Back

'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the purpose of finding the GCF when factoring a trinomial?

Back

To simplify the trinomial before factoring it completely.

Front

How do you determine if a trinomial can be factored?

Back

Check if there are two numbers that multiply to 'ac' and add to 'b'.

Front

What is the factored form of 2x² + 8x?

Back

2x(x + 4)