Math, asked by trikambhai294, 3 months ago

Obtain all other zeros of the polynomial 2x4 + 3x3

-5x2

-9x-3 ,if two of its zeros

are √3 and - √3​

Answers

Answered by 2004divyadarsini
2

Step-by-step explanation:

2X4+3X3-5X2-9X-3

X=√3 =>(X-√3) -----(1)

X= -√3 => (X+√3) --------(2)

form (1) and (2)

( X-√3)(X+√3)=0

X(X+√3) -√3(X+√3)=0

X²+√3X - √3X -3 =0

X²-3=0

g(x)=X²-3

p(x)=2X4+3X3-5X2-9X-3

since, the following p(x) and g(x) equation divided them and they for into zeroes :

2x²+3x+1

______________

X²-3√2x4+3x3-5x2-9x-3

2x4. -6x2

- +

-----------------------------

3x3+x2-9x-3

3x3. -9x

- +

----------------------------

x² -3

x² -3

- +

--------------------------

0000000

-------------------

r(x)=2x²+3x+1

q(x)=x²-3

since, the r(x) equation spilliting the method

=2x²+3x+1

= 2x²+2x+1x+1

= 2x(x+1) + 1(x+1)

= (2x+1)(x+1)

=> x= -1/2

=> x= -1

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