if A and B are the zeros of the polynomial 2x square minus x minus 3 then write the polynomial whose zeros are a square, b square. ( 4 square - 13x +9)
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Answer:
- 2x2-x-3
- let p(x)=0
- 2x2-x-3=0
- 2*-3= -6
- 2x2+2x-3x-3=0
- (2x2+2x)+(-3x-3)=0
- 2x(x+1)-3(x+1)=0
- 2x-3=0. x+1=0
- 2x=3. x=-1
- x=3/2(or)-1
- (3/2)2=9/4
- (-1)2=1
- k(x2-x(a+b)+ab)
- k(x2-x(9/4+1)+9/4(1))
- k(x2-x(13/4)+9/4)
- k(4x2-13x+9/5)
- let k= 4
- 4x2-13x+9
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