$(x + 3)$ is a factor of $p(x) = x^{2} + 5x + 6$ if $p(-3)$ equals

$(x + 3)$ is a factor of $p(x) = x^{2} + 5x + 6$ if $p(-3)$ equals
  1. $0$
  2. $3$
  3. $-3$
  4. $6$

Solution

By factor theorem, factor iff $p(-3) = 0$. $p(-3) = 9 - 15 + 6 = 0$. ✓

Asked in: MH-SSC-9

Practice more Polynomials questions on Aicharya