Question
Find the product of (x2 + 3x + 5) and (x2 -1).
Hint:
Multiplication of polynomials.
○ Follow three steps while multiplication of polynomials.
First, multiply each term in one polynomial by each term in the other polynomialusing the distributive law.
Add the powers of the same variables using the exponent rule.
Then, simplify the resulting polynomial by adding or subtracting the like term
The correct answer is: Hence, the product is x4 + 3x3 + 4x2 - 3x - 5.
Answer:
- Step by step explanation:
○ Given:
○ Two terms.
(x2 + 3x + 5) and (x2 -1)
○ Step 1:
○ Find products.
(x2 + 3x + 5) (x2 -1)
x2.(x2 + 3x + 5) - 1.(x2 + 3x + 5)
(x4 + 3x3 + 5x2) - (x2 + 3x + 5)
○ Step 1:
○ Arrange terms in decreasing order.
(x4 + 3x3 + 5x2 - x2 - 3x - 5)
x4 + 3x3 + 4x2 - 3x - 5
∴ x4 + 3x3 + 4x2 - 3x - 5
- Final Answer:
Hence, the product is x4 + 3x3 + 4x2 - 3x - 5.
○ Step 1:
○ Find products.
x2.(x2 + 3x + 5) - 1.(x2 + 3x + 5) (x4 + 3x3 + 5x2) - (x2 + 3x + 5)○ Step 1:
○ Arrange terms in decreasing order.
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