What must be subtracted from $3 x^{3} - 8 x^{2} + 4 x - 3$ so that the resulting expression is divisible by $x - 2$ ?

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-3

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Solution

The correct option is C
-3

The number to be subtracted is equal to the remainder obtained when $3 x^{3} - 8 x^{2} + 4 x - 3$ is divided by $x - 2$ .

putting x = 2 in $f (x) = 3 x^{3} - 8 x^{2} + 4 x - 3$ , we get

$f (2) = 3 (2)^{3} - 8 (2)^{2} + 4 (2) - 3$

$= 24 - 32 + 8 - 3$

$= - 3$

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Similar questions

What should be subtracted from $3 x^{3} - 5 x^{2} + 4 x - 3$ so that the resulting expression has x + 2 as a factor?

The expression that should be subtracted from the polynomial f(x) = x⁴ + 2x³ -13x² - 12x + 21 so that the resulting polynomial is exactly divisible by g(x) = x² – 4x + 3 is

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What must be subtracted from 3x3−8x2+4x−3 so that the resulting expression is divisible by x−2?

The correct option is C -3 The number to be subtracted is equal to the remainder obtained when 3x3−8x2+4x−3 is divided by x−2. putting x = 2 in f(x) = 3x3−8x2+4x−3, we get f(2) = 3(2)3−8(2)2+4(2)−3 = 24−32+8−3 =−3

What must be subtracted from $3 x^{3} - 8 x^{2} + 4 x - 3$ so that the resulting expression is divisible by $x - 2$ ?

The correct option is C
-3

The number to be subtracted is equal to the remainder obtained when $3 x^{3} - 8 x^{2} + 4 x - 3$ is divided by $x - 2$ .

putting x = 2 in $f (x) = 3 x^{3} - 8 x^{2} + 4 x - 3$ , we get

$f (2) = 3 (2)^{3} - 8 (2)^{2} + 4 (2) - 3$

$= 24 - 32 + 8 - 3$

$= - 3$