Question

Find the value of a if x -2is a factor of x³-3x+5a​

Answer 1

$\huge\underline\bold\color{red}\mathfrak{Answer}$

x - 2 is a factor, therefore, x = 2 is a zero of the polynomial.

Substituting the values in the polynomial,

2³ - 3(2) + 5a = 0

8 - 6 + 5a = 0

5a = -2

a = -2/5

$<marquee>❣️Hope it helps❣️</marquee>$

Answer 2

$\large{\underline{\underline{\mathfrak{\green{\sf{Question:-}}}}}}$.

• Find the value of a, if x -2is a factor of x³-3x+5a =0.

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$\large{\underline{\underline{\mathfrak{\sf{Given\:Here:-}}}}}$.

• Equation is $\:x^3-3x+5a\:=\:0$

$\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}$.

• Value of X

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If (x-2) is a factor of this equation

So,

Value of x is exist this equation .

Now, keep X = 2, in this equation

$\leadsto\:(2)^3-3(2)+5a\:=\:0$

$\leadsto\:8-6+5a\:=\:0$

$\leadsto\:5a\:=\:-2$

$\leadsto\:a\:=\frac{-2}{5}$

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$\large{\underline{\underline{\mathfrak{\sf{Answer:-}}}}}$.

$\leadsto\:Value\:of\:a\:=\frac{-2}{5}$