How do you multiply polynomials?

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Presentation transcript:

How do you multiply polynomials? GSE Algebra I EQ: How do you multiply polynomials? Standard: M.ALGI.4.14: Polynomials: Multiply

Exponent Rules Product of a power: If the bases are the same, and we need to multiply, we just add the exponents. So

1) (5)(x + 6)

2) (x2)(x + 6)

3) (-2x)(x2 – 4x + 2)

FOIL Method This method is for multiplying two binomials (x-3)(x+4) F-first term times first term (x-3)(x+4) x2 O-outer term times outer term (x-3)(x+4) 4x I –inner term times inner term (x-3)(x+4) -3x L -last term times last term (x-3)(x+4) -12 Put it together: x2+4x-3x-12 Combine like terms: x2+x-12

4) (2x + 5)(x + 6)

5) (x + 9) (x – 3)

6) (3x – 1)(2x – 4)

7) (2x – 3)(2x + 3)

8) (3b2 – 2b + 5)(5b – 6)

9) (2y + 2)(-3y2 + 5y – 4)

10) Find the area of the rectangle.

11)Find the area of the rectangle.

Find the volume.