Question

p(x) is a polynomial with interger coefficients and p(-3)=0

Which statements must be true? Choose all that apply.

x+3 is a factor of the polynomial.
x-3 is a factor of the polynomial.
-3 is the constant term of the polynomial.
p(x) can have at most 3 linear factors.

Answer 1

@ganeshie8 @amistre64 @Michele_Laino @mathstudent55 @Ghostgate @FrostFlare23

Answer 2

@triciaal @Kainui @pooja195

Answer 3

I picked b and c but got part of it right

Answer 4

@Nnesha @jango_IN_DTOWN

Answer 5

If I apply the theorem of Ruffini, I can write this:
\[p\left( x \right) = \left( {x + 3} \right) \cdot q\left( x \right)\]
where \(q(x)\) is a polynomial of degree \(n-1\) if the degree of \(p(x)\) is \(n\)