SOLUTION Divide a polynomial by a monomial EXAMPLE 1 Divide 4x 3 + 8x 2 + 10x by 2x. Method 1 : Write the division as a fraction. Write as fraction. Divide.

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SOLUTION Divide a polynomial by a monomial EXAMPLE 1 Divide 4x 3 + 8x x by 2x. Method 1 : Write the division as a fraction. Write as fraction. Divide each term by 2x. = 2x 2 + 4x + 5 8x28x2 4x34x3 2x2x 2x2x 10x 2x2x ++= Simplify. (4x 3 + 8x x) 2x 4x 3 + 8x 2 +10x 2x2x =

Divide a polynomial by a monomial EXAMPLE 1 CHECK 2x(2x 2 + 4x + 5) = 4x 3 + 8x x ? 2x(2x 2 ) + 2x(4x) + 2x(5) = 4x 3 + 8x x ? 4x 3 2x = ? Think 8x 2 2x = ? Think 10x 2x = ? Think + 4x + 5 ANSWER (4x 3 + 8x x) 2x = 2x 2 + 4x + 5 2x 4x 3 + 8x x ) 2x22x2 Method 2 : Use long division. 4x 3 + 8x x = 4x 3 + 8x x

GUIDED PRACTICE for Example 1 (6x 3 + 3x 2 –12x) 3x1. 2x 2 + x – 4 ANSWER (12y 4 – 16y y 2 ) 4y2. ANSWER 3y 3 – 4y 2 + 5y