Question

Find a quadratic polynomial with zeros 2 and 3 respectively .

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Answer 1

Answer:

Since, 2 and 3 are zeros of quadratic polynomial

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

⇒p(x)=x2−3x−2x+6

⇒p(x)=x2−5x+6

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Answer 2

• when the zeros of the equation are a , b
• the quadratic equation with zeros a &b is given by....

x^2 -(a+b)x + (a×b)

so here the required equation is obtained by,

=> x^2 -(2+3)x + (2×3)

x^2 - 5x + 6

is the required quadratic equation.

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