Question

Find all zeros of the polynomial 3x^3 +10x²-9x-4 if one of its zeros is 1.
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Answer 1

Step-by-step explanation:

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Answer 2

Answer refers in attachment.

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Additional information:-

DIVISION ALGORITHM FOR POLYNOMIALS

1. If α (Alpha), β (Beta) and γ (Gamma) are any two polynomials with g(x) not equal to 0 then we can find polynomials q+x) and r(x) such that

• $\boxed{\purple{\sf f(x) = g(x) × g(x) + r(x)}} $

2. where r (x)=0 or {(degree of r(x)} < {degree of g(x)}.

We may write it as

• $\boxed{ \purple{ \sf \: Dividend= (Quotient × Divisor)+ Remainder}} $

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An Important Note

• If α is a zero of the polynomial f(x) then (x-α) is a divisor of f(x).