Question

then find the remaining zeroes​

Answer 1

Answer:

Step-by-step explanation:

p(x) = x³-3x²-13x+15

also, p(x) = 1

x=1

x-1 = 0

And given that x-1 is a factor

On performing long division,

x³-3x²-13x+15 / x-1

(done in attachment file)

we know that

dividend = quotient* divisor + remainder

x³-3x²-13x+15 = (x²-2x- 15)(x-1)

                       =(x²-5x+3x-15)(x-1)

                       =[x(x-5)+3(x-5)] (x-1)

                       = (x-5)(x+3)(x-1)

Hence, other factors (excluding x-1) is x-5 and x+3

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