Given: f(x) = 2x^4 – 3x^3– 35x^2 – 9x + 45 Explain how you can show that (x-1) and (x+3) are factors.

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

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

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step-by-step explanation: