 # Dividing Polynomials Chapter 4.6. 5 – – 15y 4 – 27y 3 – 21y 2 3y 2 15 3 – 27 3 – 21 3 y 2 y9 7 1. Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions.

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Dividing Polynomials Chapter 4.6

5 – – 15y 4 – 27y 3 – 21y 2 3y 2 15 3 – 27 3 – 21 3 y 2 y9 7 1. Divide. y 4 y 2 y 2 y 3 y 2 y 2 Write as separate fractions. Simplify each.

–( ) x 3 –( ) (x 3 + 10x 2 + 31x + 25) ÷ (x + 4) x ) x3x3 x x 2 x 3 6x 2 + 31x 6x 2 x + 6x 6x 2 7x+ 25 7x x + 7 –( )7x -3 x 2 + 6x + 7 x + 4 3 + 4x 2 + 24x + 28 – + 10x 2 + 31x + 25 + 4 2. Divide. Divide first terms. Multiply. Subtract. Bring down next term. Write as long division.

–( ) 2x 3 –( ) (2x 3 – x 2 + 1) ÷ (x – 1) x ) 2x 3 x 2x 2 2x 3 x 2 + 0x x2x2 x + x x 2 x+ 1 x x + 1 –( )x 2 2x 2 + x + 1 x – 1 2 – 2x 2 – x – 1 + – x 2 + 0x + 1 – 1 3. Divide. Divide first terms. Multiply. Subtract. Bring down next term. Write as long division. Write 0x for the missing term.

–( ) 20x 3 –( ) (20x 3 – 11x 2 – 11x + 6) ÷ (4x – 3) 4x ) 20x 3 4x 5x 2 20x 3 4x 2 – 11x 4x 2 4x + x 4x 2 -8x+ 6 -8x 4x – 2 –( )-8x 5x 2 + x – 2 – 15x 2 – 3x + 6 – 11x 2 – 11x + 6 – 3 Divide first terms. Multiply. Subtract. Bring down next term. Write as long division. 4. Divide and check.

(20x 3 – 11x 2 – 11x + 6) ÷ (4x – 3) 5x 2 + x – 2 4. Divide and check. Check by multiplying the quotient and dividend. 20x 3 + 6+ 4x 2 – 8x – 15x 2 – 3x 20x 3 – 11x 2 – 11x + 6 Multiply each term then combine. ( )( ) 5x 2 + x – 2 4x – 3 √

Dividing Polynomials Chapter 4.6

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