Question

Multiply and write in standard form.

(2x - 5)(-3x + 2)

(2 points)

Answer 1

To multiply the two binomials \((2x - 5)(-3x + 2)\), we will apply the distributive property (also known as the FOIL method for binomials):

1. **First**: Multiply the first terms:
\(2x \cdot -3x = -6x^2\)

2. **Outer**: Multiply the outer terms:
\(2x \cdot 2 = 4x\)

3. **Inner**: Multiply the inner terms:
\(-5 \cdot -3x = 15x\)

4. **Last**: Multiply the last terms:
\(-5 \cdot 2 = -10\)

Now, we combine all these results:
\[
-6x^2 + 4x + 15x - 10
\]

Next, we combine like terms (the \(x\) terms):
\[
-6x^2 + (4x + 15x) - 10 = -6x^2 + 19x - 10
\]

Therefore, the final result in standard form is:
\[
\boxed{-6x^2 + 19x - 10}
\]