Question

Check wheather x – 5 is factor of 3x3 + 2x2

– 5x + 4 or not.


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Answer 1

Answer:

No.

Step-by-step explanation:

$x-5=0$

$x=0+5$

$x=5$

$p(x)=3x^{3}+2x^{2}-5x+4$

$p(5)=3(5)^{3}+2(5)^{2}-5(5)+4$

$3(5)^{3}+2(5)^{2}-5(5)+4=0$

$3(125)+2(25)-25+4=0$

$375+50-25+4=0$

$375+25+4=0$

$375+29=0$

$404\neq 0$

$LHS\neq RHS$

∴ $(x-5)$ is not a factor of $3x^{3}+2x^{2}-5x+4$.

Answer 2

Answer:

$\huge \pink {NO }$