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Question
Multiply (x2 - 3) (2x - 7x 3 + 4) and write the degree of the product.
Options
5
3
2
0
Solution
5
Explanation:
`(x^2 - 3)(2x - 7x^3 + 4)`
`= x^2 (2x - 7x^3 + 4) - 3 (2x - 7x^3 + 4)`
`= 2x^3 - 7x^5 + 4x^2 - 6x +21x^3 - 12`
`= -7x^5 + 2x^3 + 21x^3 +4x^2 - 6x - 12`
`= -7x^5 + 23x^3 + 4x^2 - 6x - 12`
Thus, the degree of the resultant polynomial is 5.
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