Question

Find the GCD of (x²-9x+20) and (x⁴-256)
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Please dont answere if you dont know please I beg of u​

Answer 1

Step-by-step explanation:

x²-9x+20 = x²-4x-5x+20 = x(x-4)-5(x-4) = (x-5)(x-4) --A

x⁴-256 = x⁴- 4⁴ = (x²)² - (4²)² = (x²-4²)(x²+4²)

= (x+4)(x-4)(x²+16) --B

greatest common factor in A,B is (x-4)

GCD = x-4

Answer 2

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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