Rational Root Theorem L3

Given P(x) = x³ - 3x² - 10x + 24

Find all zeroes for P(x)

• Zeroes = {-3, 2, 4}

• Zeroes = {-4, -2, 3}

• Zeroes = {-4, 2, 3}

• Zeroes = {-3, -2, 4}

Given P(x) = x³ - 3x² - 10x + 24

Find factor of P(x) completely

• (x + 3)(x - 2)(x - 4)

• (x - 3)(x + 2)(x + 4)

• (x - 3)(x - 2)(x + 4)

• (x + 3)(x + 2)(x - 4)

Given P(x) = x⁴ - 5x² + 4

Find factor of P(x) completely

• Zeroes: {-3, -1, 1, 3}

• Zeroes: {-3, -2, 2, 3}

• Zeroes: {-2, -1, 1, 2}

• Zeroes: {-4,-3, -2, 1}

Given P(x) = x⁴ - 5x² + 4

Find factor of P(x) completely

• (x + 3)(x + 1)(x - 1)(x - 3)

• (x + 3)(x + 2)(x - 2)(x - 3)

• (x - 1)(x - 2)(x + 1)(x + 2)

• (x + 4)(x + 3)(x + 2)(x + 1)

Given P(x) = 3x³ + 2x² - 19x + 6 use calculator to determine the first two of three zeroes

• 2, 3

• -2, 3

• -3, 2

• -2, -3

Use synthetic division for P(x) = 3x³ + 2x² - 19x + 6 with the divisor zero x = 2. Find the quotient

Assume we have a quotient 3x² + 8x - 3. Use the quadratic formula to solve it

Given P(x) = 3x⁴ - 8x³ - 37x² + 2x + 40 and (x +2). Find first three of four zeroes.

• {-5, -2, -1}

• {-5, -2, 1}

• {-2, -1, 5}

• {-2, 1, 5}

Given P(x) = 3x⁴ - 8x³ - 37x² + 2x + 40 and (x +2). Find the quotient

Assume we have 3x² - 11x -20. Find the rest of zeroes using a quadratic formula