Question

find all
the zeroes of polynomial
x 3 + 3x 2-2X-6, if two of its zeros are - root 2 and root 2​

Answer 1

Answer:

A quadratic polynomial with given zeroes is x² - 0x - 2 (or) x² - 2. Since -√2 and √2 are zeroes of the given polynomial,so x² - 2 is a factor of given polynomial. 0. ... ∴ Hence, all the zeroes of given polynomial are -√2,√2 and -3

Step-by-step explanation:

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Answer 2

If two zeroes are √2 and -√2 so, the factor will be

(x-√2)(x+√2)=0

→ x²-2 = 0

now, dividing the expression with this,

x²-2)x³+3x²-2x-6(x+3

x³-2x

- +

+3x²-6

+3x²-6

- +

x

so, x³+3x²-2x-6 = (x²-2) (x+3)

All the factors are +√2 , -√2 and -3

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