Question

plz solve it..... urgent ​

Answer 1

p(x) = 2x⁴ - 9x³ + 5x² + 3x - 1

Two of its factors are (2+√3) and (2-√3)

i.e. {x-(2+√3)}{x-(2-√3)}

=> x² - x(2+√3) - x(2-√3) + (2²-√3²)

=> x² - 2x - x√3 - 2x + x√3 + 4 - 3

=> x² - 4x + 1

Then, we have divided p(x) by (x² - 4x + 1) by long division method. (in attachment)

Now, we know that

p(x) = (x² - 4x + 1)(2x² - x - 1)

= (x² - 4x + 1)(2x² - 2x + x - 1)

= (x² - 4x + 1){2x(x-1) + 1(x-1)}

= (x² - 4x + 1)(x - 1)(2x + 1)

∴ the other two zeroes are 1 and - 1/2.

Answer 2

Explanation:

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