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Algebra II: Polynomials

Problems

Nested Form of a Polynomial

Long Division of a Polynomial by a Binomial

Problem : Convert P(x) = 4x 5 +5x 4 -3x 3 +7x 2 - 8x + 10 to nested form and evaluate P(2) .

P(x) = (((((4)x + 5)x - 3)x + 7)x - 8)x + 10 .
P(2) = 206 .

Problem : Convert P(x) = - 3x 4 + x 5 - x + 9x 2 -7x 3 + 4 to nested form and evaluate P(3) .

P(x) = (((((1)x - 3)x - 7)x + 9)x - 1)x + 4 .
P(3) = - 107 .

Problem : Convert P(x) = 5x 2 +4x 4 - 12 - 16x to nested form and evaluate P(- 2) .

P(x) = ((((4)x + 0)x + 5)x - 16)x - 12 .
P(- 2) = 104 .

Problem : Convert P(x) = 6x 3 - x 6 -4x 2 -2x + 5x 5 +3 - x 4 to nested form and evaluate P(5) .

P(x) = ((((((- 1)x + 5)x - 1)x + 6)x - 4)x - 2)x + 3 .
P(5) = 18 .

Problem : Convert P(x) = - 50x - 10x 3 +2x 4 -20x 2 - 42 to nested form and evaluate P(7) .

P(x) = ((((2)x - 10)x - 20)x - 50)x - 42 .
P(7) = 0 .

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