Student Question

Construction Construct the quadratic whose roots are 2 and 3.

Expert Answers

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A polynomial that has roots 2 and 3 has factors equal to x - 2 and x - 3.

This makes the polynomial equal to (x - 2)(x - 3)

Opening the brackets and multiplying

=> x^2 - 2x - 3x + 6

Adding similar terms, we get

=> x* - 5x + 6

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