calculate a² + B² for the polynomial 2x² -5x +3, where a and B are the zeroes of the polynomial.
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Step-by-step explanation:
just use the property of sum of roots and product of roots
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Answer:
13/4
Step-by-step explanation:
2x² -5x +3
(by middle term identity- x^2-5x+6 p=6,s=-5 so the nos. are -2,-3)
2x² -5x +3
=2x²-2x-3x+3
=2x(x-1)-3(x-1)
=(2x-3)(x-1)
zeroes of (2x-3)(x-1) are
2x-3=0
2x=3
x=3/2
and x-1=0
x=1
so the zeroes of (2x-3)(x-1) are 3/2 and 1
a^ 2+b^2
=(3/2)^2 + (1)^2
=9/4+1
=9/4 + 4/4
=13/4
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