Question

Construct a polynomial whose zeroes are 3 and-2​

Answer 1

Explanation:

||✪✪ QUESTION ✪✪||

Find quadratic polynomial whose zeroes are 3 and -2 ?

|| ✰✰ ANSWER ✰✰ ||

☙☙ Method ❶ ☙☙ :-

Given that, Roots are (-2) and 3 ...

So,

→ Sum of roots = (-2) + (3 )

→ Sum of roots = 3 - 2

→ Sum of roots = 1

And,

→ Product of roots = (-2) * (3 )

→ Product of roots = (-6)

So,

→ Required equation : x² - ( sum of roots )x + product of roots = 0

= > x² - (1)x + (-6) = 0

= > x² - x - 6 = 0

Hence, Required equation is x² - x - 6 = 0.

_____________________________

☙☙ Method ❷☙☙ :-

We know, Any quadratic equation can also be written in this form : ( x - a )( x - b ) = 0, where

Answer 2

Answer:

x

2

−5x+6

Since, 2 and 3 are zeros of quadratic polynomial

Then, required polynomial is p(x)=(x−2)(x−3)

⇒p(x)=x

2

−3x−2x+6

⇒p(x)=x

2

−5x+6

Explanation:

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