Coefficient of x in (x+6)(7−3x) is:
- A42
- B-3
- C7
- D-11
Solution & Step-by-step Explanation
To find the coefficient of x, we first expand the given expression:
E=(x+6)(7−3x)
Multiplying the terms:
E=x(7−3x)+6(7−3x)
E=7x−3x
2
+42−18x
Grouping the like terms together:
E=−3x
2
+(7x−18x)+42
E=−3x
2
−11x+42
Looking at the expanded form, the linear term is −11x. Therefore, the coefficient of x is −11.
E=(x+6)(7−3x)
Multiplying the terms:
E=x(7−3x)+6(7−3x)
E=7x−3x
2
+42−18x
Grouping the like terms together:
E=−3x
2
+(7x−18x)+42
E=−3x
2
−11x+42
Looking at the expanded form, the linear term is −11x. Therefore, the coefficient of x is −11.