Given roots 1 and −3 for a monic quadrati… | Answer | TuitionWave

Subject

গণিত

Topic

Algebra

Given roots 1 and −3 for a monic quadratic, find the polynomial.
Reading

ক)

x2− 2x − 3

খ)

x2− 1x − 3

গ)

x2+ 2x − 3

ঘ)

x2− 4x + 3

Explanation

Since the polynomial is monic and its roots are

1

and

-3

, it factors as

p(x)=(x-1)(x-(-3))=(x-1)(x+3).

Expanding,

p(x)=x^2+3x-x-3=x^2+2x-3.

Thus the correct choice is Option 3:

x^2+2x-3

.

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