Question

Find third zero of the polynomial x^3+7x^2-2x-14 if two zeros are ✓2 and -✓2

Answer 1

Answer:

Step-by-step explanation:

first ,α+β=0,αβ=-2

From this new polynomial is x^2+0x-2

Second, dividing x^3+7x^2-2x-14 by x^2+0x-2 we get x+7 as quotient

By factorising the quotient x=-7

Hence, third zero is -7