Question

Find two distinct elements of A \cap B if the subsets A, B \subset P_3(\mathbb{R}) are defined as follows. A = \{p(x) \in P_3(\mathbb{R}) \mid p(0) = 0\} B = \{p(x) \in P_3(\mathbb{R}) \mid p(1) = 0\}

          Find two distinct elements of A \cap B if the subsets A, B \subset P_3(\mathbb{R}) are defined as follows.
A = \{p(x) \in P_3(\mathbb{R}) \mid p(0) = 0\}
B = \{p(x) \in P_3(\mathbb{R}) \mid p(1) = 0\}

Find two distinct elements of A ∩B if the subsets A, B ⊂P3(ℝ) are defined as follows.
A = {p(x) ∈P3(ℝ) |p(0) = 0}
B = {p(x) ∈P3(ℝ) |p(1) = 0}

Added by Joseph L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Himanshu Kushwaha

06/23/2021

Step 1

A polynomial in \(P_{3}(\mathbb{R})\) can be written as \(p(x) = ax^3 + bx^2 + cx + d\), where \(a, b, c, d \in \mathbb{R}\). Show more…

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Find two distinct elements of (A cap B) if the subsets (A, B subseteq P_{3}(mathbb{R})) are defined as follows: [A = {p(x) in P_{3}(mathbb{R}) | p(0) = 0}] [B = {p(x) in P_{3}(mathbb{R}) | p(1) = 0}]