Question

Use the factor theorem check g(x) is a factor of p(x); P(x) = 2x ^ 3 + x ^ 2 + 4x + 1; g(x) = x - 1;​

Answer 1

Answer:

$\red{Let \: \: g(x) = 0} \\ \red{\implies x - 1 = 0 }\\ \red{\implies \: x = 1}$

Step-by-step explanation:

$\orange{Now \: \: p(1) = 2 {(1)}^{3} + {1}^{2} + 4 \times 1 + 1} \\ \orange{ = 2 + 1 + 4 + 1} \\ \orange { = 8 \not = 0\: }$

So g(x) is not a factor of p(x).