Question

How can we make a cubic polynomial into quadratic polynomial ?

Answer 1

dividing the whole equation by the variable .
E.g.:
$p(x) = 2 {x}^{3 } + 3 {x}^{2} - 5x + 7$
dividing this by x
$p(x) = 2 {x}^{3} + 3 {x}^{2} - 5x + 7 \div x$
$x(2 {x}^{2} + 3x - 5) + 7 \div x$
$ans = 2 {x}^{2} + 3x - 5 + 7 \\ =2 {x}^{2} + 3x + 2$
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