Question

find a cubic polynomial whose zeros are 3 , 1/2and -1

Answer 1

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that solved by Raju Kumar
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Answer 2

hey !!!

let @ , bita and gama is roots of this equation

As you know that a cubic polynomials is in the form of

ax³ + bx² + cx + d ----1)

So, Sum of the roots =- (3+1/2 -1 )=-( b/a )

=> @+bita + gama = -(6+1-2/2

=5/2 =- b/a

and , @×bita+bita×gama + gama×@ = c/a = 3×1/2 + 1/2×-1 +( -1×3) = c/a

=> 3/2 -1/2 -3 = 3-1-6/2 = -4/2

-4/2 = c/a

and , @×bita×gama = -(3×1/2×-1 )= -d/a = -(-3/2 )

3/2 = -d/a

now putting these value on equation .

we get ..

1. ] -b/a = -5/2

2.] c/a = -4/2

3.] -d/a = 3/2

so the equation is

(2x³- 5x² -4x +3 ) is the cubic polynomial

Hope it helps you !!!

@Rajukumar111###