Question

Q6.. Factors of x²-5x-6 are: 1.(x-3),(x-2) 2.( x-3),(x+2) 3.(x+1),(x-6) 4.(x-1),(x-5)

Answer 1

Answer:

3. (x + 1) , (x - 6)

Solution :

Given the polynomial :

• x² - 5x - 6

On factorizing the polynomial we have :

$\sf\longrightarrow x^{2} - 5x - 6 \\\\ \sf\longrightarrow x^{2} + x - 6x - 6 \\\\ \sf\longrightarrow x(x + 1)-6(x + 1) \\\\ \sf\longrightarrow (x+1)(x-6)$

Therefore , the factors of x² - 5x - 6 are : (x + 1) and (x - 6)