Multiply the polynomials (x−5)(x+3)

Answer 1

To multiply the polynomials (x−5)(x+3), we will use the distributive property.

(x−5)(x+3) = x(x+3) - 5(x+3)

Now, we will apply the distributive property to both terms:

= x(x) + x(3) - 5(x) - 5(3)

= x^2 + 3x - 5x - 15

Finally, we can combine like terms:

= x^2 - 2x - 15

Therefore, (x−5)(x+3) simplifies to x^2 - 2x - 15.