Question

Check whether 3 and -2 are the zeroes of the polynomial p(x) when p(x)= x²-x-6​

Answer 1

Answer:

3, -2 are zeroes of the polynomial p(x)

Step-by-step explanation:

p(x) =

${x}^{2} - x - 6 = 0$

${x}^{2} - 3x + 2x - 6 = 0$

$x(x - 3) + 2(x - 3) = 0$

$(x + 2)(x - 3) = 0 \\ x + 2 = 0 \: . \: \: x - 3 = 0 \\ x = - 2. \: \: x = 3$