Question

Given: f(x) = 2x^4 – 3x^3– 35x^2 – 9x + 45

Explain how you can show that (x-1) and (x+3) are factors.​

Answer 1

45-35-9-3+2 = 45-47+2 = 0

if the sum of coefficients is equal to 0, 1 is the factor of the polynomial

you can find other integer factors by looking on the integer factors of 45, so -3 will be a guess or you use use Horner, find how does this polynomial look like after factoring out (x-1) and try to group or other technic