Bell Ringer 04.03.24 Wed. Factoring with a-c method

Factoring with a-c method

Factoring Trinomials with lead coefficients other than one

Multiple Select

Which of the following are trinomials?

• x²-5x

• x²+2x -5

• 3x²

• 4x²+8x - 16

Trinomials

• Have 3 distinct terms

• Can also be called polynomials

• For factoring it helps if they are written in decending exponential order with a positive lead coefficient

Multiple Choice

What is the lead coefficent of following trinomial?

5x -3x²+2

• 5

• 3

• -3

• 2

Lead Coefficents and A/C method

Lead coefficients are the coeffient (or numerical factor) of the term with the highest exponent. For A/C method it is important that you identify your lead coefficient becuase that is also your A value. The C vlaue is the constant term at the end of your trinomial. This is another reason why it is important that you write you trinomial in descending exponential order.

Multiple Choice

What is the C value of the following trinomial?

2X² +7x -10

• 2

• 7

• 10

• -10

Steps:

1.Multiply A and C

2. Look at the last sign List the factors of A*C , 3. Use step 2 to determine the factors to use 4. Highlight the factor pair from step 3

5. REWRITE USING THE FACTORS

6. Group the terms with a + between them

7. Factor by grouping - Find the GCF of each set of ( )

Open Ended

Which step is the hardest for you?

Multiple Choice

This problem is completely factored (5v²+5v)+(2v+2)

• true

• false

Multiple Choice

The next step of (5v²+5v)+(2v+2) is to . . .

• Add two sets together

• Rewrite using factors

• find GCF of each