Question

Find all the zeros of polynomial in pic

Answer 1

Answer:

- √2, $\frac{1}{2}$ , 1, √2

Step-by-step explanation:

2(x - 1)(x - 0.5) = (x - 1)(2x - 1) = 2x² - 3x + 1

( $2x^{4}$ - 3x³ - 3x² + 6x - 2 ) ÷ ( 2x² - 3x + 1 ) = x² - 2

$2x^{4}$ - 3x³ - 3x² + 6x - 2 = 2(x - 1)(x - 0.5)(x - √2)(x + √2) ⇒

the zeroes of given polynomial are: - √2, $\frac{1}{2}$ , 1, √2

Answer 2

Answer:

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