Q. If y=(x−2)(x−1)(2x2+3)+4 what is the value of y when x=1 ?
Given Function and Task: We are given the function y=(x−2)(x−1)(2x2+3)+4 and asked to find the value of y when x=1. We will substitute x=1 into the function and simplify.
Substitute x=1: Substitute x=1 into the function: y=(1−2)(1−1)(2(1)2+3)+4.
Simplify Inside Parentheses: Simplify the terms inside the parentheses: y=(−1)(0)(2×1+3)+4.
Perform Multiplication: Further simplify the expression by performing the multiplication: y=(−1)(0)(2+3)+4.
Final Result: Since any number multiplied by zero is zero, the whole term (−1)(0)(5) becomes zero: y=0+4.
Final Result: Since any number multiplied by zero is zero, the whole term (−1)(0)(5) becomes zero: y=0+4. Add 4 to the result: y=4.