Question

If x+3 is a factor of the polynomial 3x^2+kx,then the value of k is

Answer 1

$\bf\huge{ANSWER}$

$\rm p(x)=3x^2+kx$

If ( x + 3 ) is a factor of p(x) then p(-3) = 0 .

$\rm\longrightarrow p(3)=3\times(-3)^2+k\times-3\\\\\longrightarrow p(3)=3\times9-3k\\\\\longrightarrow p(3)=12-3k\\\\\longrightarrow 12-3k=0\\\\\longrightarrow 12=3k\\\\\longrightarrow \bf k=4$

$\bf\underline {p(x)=3x^2+4x}$

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