Question

Multiply the polynomials: (2x−1)(x2+x+1)
(
2
𝑥
−
1
)
(
𝑥
2
+
𝑥
+
1
)
(1 point)
Responses

2x3+x2−x+1
2
𝑥
3
+
𝑥
2
−
𝑥
+
1

2 x cubed plus x squared minus x plus 1

2x3+x2+x−1
2
𝑥
3
+
𝑥
2
+
𝑥
−
1

2 x cubed plus x squared plus x minus 1

2x3+x2−x−1
2
𝑥
3
+
𝑥
2
−
𝑥
−
1

2 x cubed plus x squared minus x minus 1

2x3−x2+x−1

Answer 1

(2x−1)(x^2+x+1) = 2x^3 + x^2 + x − 1.

(2x)(x^2+x+1) = 2x^3+2x^2+2x; subtract (x^2+x+1) gives 2x^3+x^2+x−1.