ICSE Class 8 Answered
2x3 + 4x2-5 ÷ x+3
Asked by anzalnak23 | 09 May, 2024, 04:41: AM
Expert Answer
Remainder when 2x^3 + 4x^2 - 5 is divided by (x + 3) is the value of the expression at x = -3
Remainder = 2(-3)^3 + 4(-3)^2 - 5 = -54 + 36 - 5 = -23
It is completely divisible by (x + 3) when we subtract - 23 i.e. adding 23.
For quotient, 2x^3 + 4x^2 - 5 + 23 = 2x^3 + 4x^2 + 18
Using synthetic division, we get the quotient as (2x^2 - 2x + 6)
Answered by Renu Varma | 09 May, 2024, 11:40: AM
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