Question

find the zeros of the polynomial p(x)=X2+5x+6​

Answer 1

Answer:

x^2+5x+6=0

x^2+6x-x+6=0

x(x+6)-1(x+6)=0

x=1 ᴀɴᴅ x=-6

Answer 2

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• x² + 5x + 6 = 0

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• Roots or Zeroes of the polynomial.

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• x² + 5x + 6 = 0

Using PSF method,

• P = 6 * x² = 6x²

• S = 5x

• F = 3x , 2x

Substituting,

• x² + 3x + 2x + 6 = 0

• x (x + 3) + 2 (x + 3) = 0

• (x + 2) (x + 3) = 0

Now,

One Zero,

• x + 2 = 0

• x = - 2

Other Zero,

• x + 3 = 0

• x = - 3

Therefore,

• $\boxed{\purple{\textsf{Zeroes of polynomial x² + 5x + 6 are - 2 , - 3.}}}$