Question

1. which expression is equivalent to (-3x + 7)(2x - 5)?

choose the correct answer from each drop down menu.
-- choose the correct answer -- + -- choose the correct answer -- +
-- choose the correct answer --

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\((-3x)(2x) + (-3x)(-5) + 7(2x) + 7(-5)\)

Step2: Simplify each product

• \((-3x)(2x) = -6x^2\)
• \((-3x)(-5) = 15x\)
• \(7(2x) = 14x\)
• \(7(-5) = -35\)

Step3: Combine like terms

Combine the \(x\)-terms: \(15x + 14x = 29x\)

Step4: Write the final expression

Putting it all together: \(-6x^2 + 29x - 35\)

Answer:

\(-6x^2 + 29x - 35\) (The coefficients/terms for the drop - downs would be \(-6x^2\), \(29x\), and \(-35\) respectively)