Question

Iona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7)

Answer 1

10x³ -19x² + 20x -21.

Explanation:

Given : (2x – 3)(5x² – 2x + 7).

To find : wrote out the description of each step for her multiplication of the binomial and trinomial.

Solution : We have given

(2x – 3)(5x² – 2x + 7).

Step 1: Distribute 2x over (5x² – 2x + 7) and - 3 over (5x² – 2x + 7).

2x (5x² – 2x + 7) - 3 (5x² – 2x + 7).

10x³ - 4x² + 14x - 15x² + 6x -21.

Step 2: Combine like terms

10x³ - 4x² - 15x² + 14x + 6x -21.

Step 3: Solve the like terms.

10x³ -19x² + 20x -21.

Therefore, 10x³ -19x² + 20x -21.

Answer 2

Steps for multiplying the given binomial and trinomial
`(2x-3)* (5x^(2)-2x+7)` are:

Step 1:
`2x* (5x^(2)-2x+7)-3 * (5x^(2)-2x+7)`

Step 2:
`10x^(3)-4x^(2)+14x-15x^(2)+6x-21`

Step 3:
`10x^(3)-19x^(2)+20x-21`