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Factoring with trig functions. Factoring Chart This chart will help you to determine which method of factoring to use. Type Number of Terms. 1. GCF 2 or more Difference of Squares 2 Trinomials 3. Always look for a GCF first!. Find the GCF.

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slide2
Factoring ChartThis chart will help you to determine which method of factoring to use.TypeNumber of Terms

1. GCF 2 or more

  • Difference of Squares 2
  • Trinomials 3
factor

No

Factor

Yes

Yes

Yes

Do you have a GCF?

Are the Difference of Squares steps true?

Two terms?

1st term a perfect square?

2nd term a perfect square?

Subtraction?

Yes

slide7

3

3

3

3

( tanx- 12)( tanx- 2)

3tan2 x– tanx + 8

1) Multiply 3 • (8) = 24;

tanx2- tanx+ 24

2) Set up ( )

( tanx)( tanx)

What multiplies to 24 and adds to -14?

4) Simplify (if possible).

5) Move denominator(s)in front of “x”.

( tanx- 4)( 3tanx - 2)

slide8

2

2

2

2

( secx- 6)( secx+ 3)

2sec2 x– 3secx – 9

1) Multiply 2 • (-9) = -18;

secx2 – 3secx - 18

2) Set up ( )

( secx)( secx)

  • What multiplies to -18 and adds to -3?

4) Simplify (if possible).

5) Move denominator(s)in front of “x”.

( secx- 3)( 2secx + 3)

slide9

6

6

6

6

sinx(sin x + 4)( sinx+ 9)

6sinx3+ 13sinx2 + 6sinx

1) Factor GCF

sinx(6sinx2 + 13sinx + 6)

2) Multiply 6 • (6) = 36;

Sinx(sinx2 + 13sinx + 36)

sinx( sinx)( sinx)

3) Set up ( )

4) What multiplies to 36 and adds to 13?

5) Simplify (if possible).

5) Move denominator(s)in front of “x”.

sinx(3sinx + 2)( 2sinx + 3)