What is the LCM of the polynomial x2 – 13x – 30, x2 – 8x – 105

1.	What is the LCM of the polynomial x2 – 13x – 30, x2 – 8x – 105 and x2 + 9x + 14?1. (x +5)(x + 7)(x – 15)2. (x +7)(x + 2)(x – 15)3. (x +7)(x + 2)4. (x + 2)(x – 15)
Answer» Correct Answer - Option 2 : (x +7)(x + 2)(x – 15) Concept used: LCM is the least number which is divisible by every given number. Calculation: Our first polynomial is x2 – 13x – 30 ⇒ x2 – 15x + 2x – 30 ⇒ (x – 15)(x + 2) Our second polynomial is x2 – 8x – 105 ⇒ x2 – 15x + 7x – 105 ⇒ (x – 15)(x + 7) Our third polynomial is x2 + 9x + 14 ⇒ x2 + 7x + 2x + 14 ⇒ (x + 7)(x + 2) LCM = (x + 7)(x + 2)(x – 15) ∴ The LCM of the required polynomial is (x + 7)(x + 2)(x – 15)

What is the LCM of the polynomial x2 – 13x – 30, x2 – 8x – 105 and x2 + 9x + 14?1. (x +5)(x + 7)(x – 15)2. (x +7)(x + 2)(x – 15)3. (x +7)(x + 2)4. (x + 2)(x – 15)

Answer» Correct Answer - Option 2 : (x +7)(x + 2)(x – 15)

Concept used:

LCM is the least number which is divisible by every given number.

Calculation:

Our first polynomial is x2 – 13x – 30

⇒ x2 – 15x + 2x – 30

⇒ (x – 15)(x + 2)

Our second polynomial is x2 – 8x – 105

⇒ x2 – 15x + 7x – 105

⇒ (x – 15)(x + 7)

Our third polynomial is x2 + 9x + 14

⇒ x2 + 7x + 2x + 14

⇒ (x + 7)(x + 2)

LCM = (x + 7)(x + 2)(x – 15)

∴ The LCM of the required polynomial is (x + 7)(x + 2)(x – 15)

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What is the LCM of the polynomial x2 – 13x – 30, x2 – 8x – 105 and x2 + 9x + 14?1. (x +5)(x + 7)(x – 15)2. (x +7)(x + 2)(x – 15)3. (x +7)(x + 2)4. (x + 2)(x – 15)

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