Find the LCM of the given polynomial. x^{2}-x-12, x^{2}-8x+16

pierdoodsu

pierdoodsu

Answered question

2021-12-14

Find the LCM of the given polynomial.
x2x12,x28x+16

Answer & Explanation

Papilys3q

Papilys3q

Beginner2021-12-15Added 34 answers

Step 1
We have to find LCM of given function x2x12 and x28x+16
Step 2
We have
x2x12 and x28x+16
x2x12=x24x+3x12
=x(x-4)+3(x-4)
=(x-4)(x+3)
x28x+16=x24x4x+16
=x(x-4)-4(x-4)
=(x-4)(x-4)
=(x4)2
Then, LCM of x2x12 and x28x+16 is (x4)2(x+3)

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