Question

the number of factors of the polynomial p(x)= x^2 + 5x+6 will be​

Answer 1

Answer:

2

Step-by-step explanation:

p(x) = x²+5x+6

Now, find two numbers suppose a nad b such that a+b = 5 and a×b = 6

You wI'll get a = 3 and b = 2

Now,

x² + 5x + 6

= x² + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x+3)(x + 2)

So, (x + 3) and +x + 2) are the required factors.