Question

Multiply. Express your answer as a polynomial in standard form. (1 point)
(3x−5)(9x+1)=
(
3
𝑥
−
5
)
(
9
𝑥
+
1
)
=

Answer 1

To multiply the expressions \( (3x - 5)(9x + 1) \), we can use the distributive property (also known as the FOIL method for binomials).

1. **First:** Multiply the first terms:
\[
3x \cdot 9x = 27x^2
\]

2. **Outer:** Multiply the outer terms:
\[
3x \cdot 1 = 3x
\]

3. **Inner:** Multiply the inner terms:
\[
-5 \cdot 9x = -45x
\]

4. **Last:** Multiply the last terms:
\[
-5 \cdot 1 = -5
\]

Now, combine all these results:
\[
27x^2 + 3x - 45x - 5
\]

Next, combine like terms:
\[
27x^2 + (3x - 45x) - 5 = 27x^2 - 42x - 5
\]

Thus, the final answer in polynomial standard form is:
\[
\boxed{27x^2 - 42x - 5}
\]