Math, asked by divi9126, 11 months ago

Obtain all zeros of the polynomial f(x) = 2x⁴ + x³ – 14x² – 19x – 6, if two of its zeros are -2 and -1.

Answers

Answered by topwriters
14

x = -1/2 and x = 3.

Step-by-step explanation:

Polynomial f(x) = 2x⁴ + x³ – 14x² – 19x – 6

–2 and -1 are zeroes of the polynomial.

Then (x+2) and (x+1) are factors of the polynomial and they divide the polynomial.

So (x+2)*(x+1) = x²+3x+2

2x⁴ + x³ – 14x² – 19x – 6 / (x²+3x+2) = 2x² -5x - 3

Now let's factorize 2x² -5x - 3

2x² -5x - 3 = 0

2x² -6x +x -3 = 0

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

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

So the other roots are x = -1/2 and x = 3.

Answered by sarivuselvi
1

Answer:

here you go

Step-by-step explanation:

hope it helps....

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