Question

if 1 and -2 are two zeros of the polynomial xcube -4xsquare -7x +10) find it's third zero
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Answer 1

Step-by-step explanation:

given polynomial is p(x) = x³ - 4x² - 7x + 10

given, 1 and -2 are two zeros of the polynomial

=> (x-1) (x+2) is the factor of p(x)

=> x²-x+2x-2 = x²+x-2 is the factor of p(x)

x²+x-2 ) x³ - 4x² - 7x + 10 ( x - 5

x³ + x² - 2x

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- 5x² - 5x + 10

- 5x² - 5x + 10

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0

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.•. (x - 5) is the third zero of p(x)