Question

(11) Show that m – 1 is a factor of m21 – 1 and m22 – 1.​

Answer 1

Answer:

Yes (m-1) is a factor of m21 - 1 and m22 -1

Step-by-step explanation:

Let p (m) = m²¹-1 and q (m) = m²²-1.

divisor = m-1

now,

p (1) = (1)²¹-1 = 1 - 1 = 0

Therefore, by factor theorem ( m - 1 ) is a factor of

p (m) = m²¹- 1

Also,

q (1) = (1)²² -1 = 1 - 1 = 0

Therefore, by factor theorem (m-1) is a factor of

q (m) = m²²- 1

hence, (m-1) is a factor of m²¹ - 1 and m²² - 1

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