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find k so that x-2 is a factor of 3x³+10x²-27k-10

Sagot :

x + 2 = 0

x + 2 = 0x = -2

x + 2 = 0x = -2Factor Theorem:

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27f(-2) = 3(-2)³ + k(-2)² + 5(-2) - 27

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27f(-2) = 3(-2)³ + k(-2)² + 5(-2) - 27 0 = 3(-8) + 4k - 10 - 27

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27f(-2) = 3(-2)³ + k(-2)² + 5(-2) - 27 0 = 3(-8) + 4k - 10 - 27 0 = -24 + 4k - 37

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27f(-2) = 3(-2)³ + k(-2)² + 5(-2) - 27 0 = 3(-8) + 4k - 10 - 27 0 = -24 + 4k - 37 4k = 61

x + 2 = 0x = -2Factor Theorem:If (x+2) is a factor, then - 2 is a zero of 3x³ + kx² + 5x - 27f(-2) = 3(-2)³ + k(-2)² + 5(-2) - 27 0 = 3(-8) + 4k - 10 - 27 0 = -24 + 4k - 37 4k = 61 4k/4 = 61/4

k = 61/4 or 15 1/4

^^