Question

Find the factors of the given polynomial : 4x2+24x +36​

Answer 1

Answer:

Step-by-step explanation:

Answer:

The equation is given to be : p(x) = 4x² +

24x + 36

To find the zeros of the given equation, Equate the given p(x) = 0

4x² + 24x + 36 = 0

Dividing each term of the equation by 4

→ x² + 6x + 9 = 0

x² + 3x + 3x +9=0

x(x + 3) + 3(x + 3) = 0

→ (x + 3)(x + 3) = 0

⇒a= -3 and ß = -3

Now, a + B = -3 -3 = -6

-b/a = -24/4

⇒ -b/a = -6

So, a + ß = -b/a

And, a.ß = 9 = c/a

So, a-ß = c/a