ii)Mulptiplythe given polynomials and write the degree of the product. (x2–4x + 8) (x2–1)
Answers
Step-by-step explanation:
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Answer:
degree of the product = 4
Step-by-step explanation:
Concept
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).
The degree of the product of two or more polynomials with one variable is the sum of the degrees of each polynomial. For example, the degree of the product of x2+1 and 4x3+5x+1 is 5. This is because the degree of x2+1 is 2, and the degree of 4x3+5x+1 is 3, so the total degree is 2+3=5.
Given
(x²–4x + 8) (x²–1)
To to find
We have to find the degree of the product.
Solution
(x²–4x + 8) (x²–1)
x⁴-x²-4x³+4x+8x²-8
x⁴-4x³+7x²+4x-8
degree of the product = 4
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