Question

Find a quadratic polynomial the sum and product of whose zero are -3 and 2 , respectively......


Pls solve it

Answer 1

Heya mate ur answer
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Sum of zeros= -3
Product of zeros= 2

Quadratic polynomial = K(x^2- sum of zeros ×X + product of zeros) where k is any natural number

K( x^2-(-3)x+2) where k is any natural number
K( x^2+3x+2)

Put K=1
1(x^2+3x+2)
= x^2+3x+2 is the required polynomial.....

Hope it helps.....

Answer 2

Good morning!!!!☺️

⭐Hey here is your answer ⭐

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Let polynomial be ........

ax² + bx + c and its zero be ∝ and β

Sum of its zero = α + β

= - 3

= -3 / 1

= - b/a

= - coefficient of x / coefficient of x²


Product of its zero = α × β

= 2

= c/a

= constant term / coefficient of x²


>>Therefore,

x² + 3x + 2....is one quadratic polynomial......☺️


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I HOPE IT WILL HELP U☺️✌️