Question

Given the following roots build a polynomial function in standard form: -3 and +2

Answer 1

Answer:

  f(x) = x² +x -6

Step-by-step explanation:

The standard form will look like ...

  f(x) = x² +bx +c

where b is the opposite of the sum of the roots, and c is their product.

  f(x) = x² -(-3+2)x +(-3)(2)

  f(x) = x² +x -6

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Additional comment

In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).