Question

the factor of x2+5x+6=0 are (x-2) _​

Answer 1

Answer:

20

Step-by-step explanation:

2×2+5×2+6

4+10+6

14+6

20

Answer 2

Answer:

The roots of quadratic equation x2 + 5x +6 = 0 are -2 and -3

Step-by-step explanation:

We will factorize x2 + 5x + 6 by splitting the middle term.

First, we need to find two numbers ‘a’ and ‘b’ such that a + b = 5x and ab = 6x2

We know that 3x + 2x = 5x and 3x × 2x = 6x2

Thus, we can rewrite the equation x2 + 5x + 6 as

= x2 + 3x + 2x + 6

Taking the common factor x out from the first 2 terms we have:

x2 + 3x = x (x + 3)

Now, taking the common factor 2 out from the third and 4th term

2x + 6 = 2 (x + 3)

Thus, x2 + 5x + 6

=x2 + 3x + 2x + 6

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

Now we see that (x+3) is common, taking the common factor out, we get

x2 + 5x + 6= (x + 3)(x + 2)

So, (x + 3) and (x + 2) are the factors of the polynomial x2 + 5x + 6.

To find the roots,

==> x + 3 = 0 and x + 2 = 0

==> x = -3 and x= -2

Thus, the solutions of the quadratic equation x2 + 5x + 6 = 0 are x = -2 and x = -3.