Question

Which trinomial is equivalent to (x + 3)(x – 5)?

Answer 1

x²-2x-15

Explanation:

Given:

• (x+3)(x-5)

We have to express above factored form into a trinomial.

Trinomial refers to any expression which has three terms in it, most of the times it is in form of a quadratic equation ax²+bx+c.

We can apply DISTRIBUTION method to solve:

• (x+3)(x-5)(Multiply x with x and 5,then for the second term, multiply 3 with x and 3 with 5)

[Remember the sign convection]

• x²-5x+3x -15

Simplifying terms,

• x²-2x-15

Hence,the trinomial is x²-2x-15