Find the GCD of (x²-9x+20) and (x⁴-256)
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Find the GCD of (x²-9x+20) and (x⁴-256)
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Answer:
376
Step-by-step explanation:
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Answer:
GCD of (x²-9x+20) and (x⁴-256) is (x-4).
Step-by-step explanation:
Given: (x²-9x+20) and (x⁴-256)
⇒ x²-9x+20 = x²-4x-5x+20 = x(x-4) - 5(x-4) = (x-4)(x-5)
And, x⁴-256 = (x²-16)(x²+16) = (x-4)(x+4)(x²+16)
⇒ GCD (Greatest Common Divisor) of (x²-9x+20) and (x⁴-256) is (x-4) because it can divide both (x²-9x+20) and (x⁴-256).
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