Question

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

Answer 1

Steps for multiplying the given binomial and trinomial $(2x-3)\times (5x^{2}-2x+7)$ are:

Step 1: $2x\times (5x^{2}-2x+7)-3 \times (5x^{2}-2x+7)$

Step 2: $10x^{3}-4x^{2}+14x-15x^{2}+6x-21$

Step 3: $10x^{3}-19x^{2}+20x-21$

Answer 2

Answer:

10x³ -19x² + 20x -21.

Step-by-step 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.