Question

Subtract the polynomials: (4x3−2x2+x−1)−(3x3+x2−2x+4)
(
4
𝑥
3
−
2
𝑥
2
+
𝑥
−
1
)
−
(
3
𝑥
3
+
𝑥
2
−
2
𝑥
+
4
)
(1 point)
Responses

x3−3x2+3x+3
𝑥
3
−
3
𝑥
2
+
3
𝑥
+
3

x cubed minus 3 x squared plus 3 x plus 3

x3−x2−x−5
𝑥
3
−
𝑥
2
−
𝑥
−
5

x cubed minus x squared minus x minus 5

x3−3x2+3x−5
𝑥
3
−
3
𝑥
2
+
3
𝑥
−
5

x cubed minus 3 x squared plus 3 x minus 5

x3−x2−x+3

Answer 1

Compute termwise:
(4x^3 − 2x^2 + x − 1) − (3x^3 + x^2 − 2x + 4)
= (4x^3−3x^3) + (−2x^2−x^2) + (x+2x) + (−1−4)
= x^3 − 3x^2 + 3x − 5.

Answer: x^3 − 3x^2 + 3x − 5.