Math, asked by Rriyacchristian, 1 year ago

Show that 3 is a zero of polynomial 2x^3-x^2-13x-6. Find all the zero of the polynomial

Answers

Answered by Arceus11
4

Putting 3 in the polynomial we get:

E=2(3)³-(3)²-13(3)-6

E=2×27-9-39-6

E=54-48-6

E=0.

Factorising,

2x³-x²-13x-6= (x-3)(2x²+5x+2)=0

Solving the quadratic:

(x-3)(2x+1)(x+2)=0.

Hence, the zeroes of the polynomial are:

3,-1/2,-2.

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