What is the remainder when $3 a^{2} - 5 a + 6$ is divided by $a - 2$ ?

5

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8

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Solution

The correct option is D $8$
According to the remainder theorem: When you divide a polynomial $f (x)$ by $x - c$ the remainder $r$ will be $f (c)$ .
So, $f (a) = 3 a^{2} - 5 a + 6$ and $a - 2 = 0, a = 2$
Therefore, $a = f (2) = 3 (2)^{2} - 5 (2) + 6$
$=$ $12 - 10 + 6 = 8$

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What is the remainder when 3a2−5a+6 is divided by a−2?

The correct option is D 8According to the remainder theorem: When you divide a polynomial f(x) by x−c the remainder r will be f(c).So, f(a)=3a2−5a+6 and a−2=0,a=2Therefore, a=f(2)=3(2)2−5(2)+6= 12−10+6=8

What is the remainder when $3 a^{2} - 5 a + 6$ is divided by $a - 2$ ?

The correct option is D $8$
According to the remainder theorem: When you divide a polynomial $f (x)$ by $x - c$ the remainder $r$ will be $f (c)$ .
So, $f (a) = 3 a^{2} - 5 a + 6$ and $a - 2 = 0, a = 2$
Therefore, $a = f (2) = 3 (2)^{2} - 5 (2) + 6$
$=$ $12 - 10 + 6 = 8$