Put the steps in the correct order when multiplying the binomials: (2x−5)(x+7)

Question

. Start with the given expression and end with the simplified trinomial.(4 points)
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Answer 1

To multiply the binomials $(2x-5)(x+7)$, you can follow these steps in the correct order:

1. Distribute $2x$ to both terms in the second binomial:

   • $2x\cdot x=2x^2$
   • $2x\cdot 7=14x$

2. Distribute $-5$ to both terms in the second binomial:

   • $-5\cdot x=-5x$
   • $-5\cdot 7=-35$

3. Combine all the results from the distributions:

   • $2x^2+14x-5x-35$

4. Simplify the expression by combining like terms:

   • $2x^2+(14x-5x)-35=2x^2+9x-35$

Thus, the final simplified trinomial is $2x^2+9x-35$.