Question

write the coefficient of x2 in 4x⁴+5x³-x²+6​

Answer 1

$\large\bf{Answer :-}$ $\large\boxed{\bf\large\underline\red{-1}}$

$\bf\green{GIVEN :-}$

$\implies \bf {4x}^{4} + {5x}^{3} - {x}^{2} + 6$

$\bf\green{To \: Find :-}$

$\implies \bf \sf \: coefficient \: of \: {x}^{2}$

$\bf\green{SOLUTION :-}$

$\implies \bf {4x}^{4} + {5x}^{3} - { \underline{(1)x}}^{2} + 6$

$\implies\large \bf \:\purple{ coefficient \: = - 1}$

$\sf\large\red{Let's\: explore\: more :-}$

★What is a coefficient?

$\implies$A coefficient is any of the factors of a term relative to a given factor of the term.

For example :-

❖In the term $\bf\underline{-5{x}^{2}y}$, the coefficient of "$\sf{ y }$ "is $\sf{-5x}^{2}$.

❖In the term $\bf\underline{-5 {x}^{2}y}$, the coefficient of " $\sf{x}^{2}$" is -5y.