What should be subtracted from 3x 3 - 8x 2 + 4x - 3, so that the resulting expression has x + 2 as a factor ?

The number to be subtracted = Remainder obtained on dividing 3x 3 - 8x 2 + 4x - 3 by x + 2. x + 2 = 0 ⇒ x = -2. Substituting x = -2 in 3x 3 - 8x 2 + 4x - 3 we get, = 3(-2) 3 - 8(-2) 2 + 4(-2) - 3 = 3(-8) - 8(4) - 8 - 3 = -24 - 32 - 8 - 3 = -67. Hence, no. to be subtracted = -67.

Mathematics

What should be subtracted from 3x³ - 8x² + 4x - 3, so that the resulting expression has x + 2 as a factor ?

Factorisation

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Answer

The number to be subtracted = Remainder obtained on dividing 3x³ - 8x² + 4x - 3 by x + 2.

x + 2 = 0 ⇒ x = -2.

Substituting x = -2 in 3x³ - 8x² + 4x - 3 we get,

= 3(-2)³ - 8(-2)² + 4(-2) - 3

= 3(-8) - 8(4) - 8 - 3

= -24 - 32 - 8 - 3

= -67.

Hence, no. to be subtracted = -67.

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Mathematics

What should be subtracted from 3x³ - 8x² + 4x - 3, so that the resulting expression has x + 2 as a factor ?

Factorisation

Answer

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Mathematics

What should be subtracted from 3x3 - 8x2 + 4x - 3, so that the resulting expression has x + 2 as a factor ?

Factorisation

Answer

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What should be subtracted from 3x³ - 8x² + 4x - 3, so that the resulting expression has x + 2 as a factor ?

A polynomial x⁴ - 13x² + 36.
Statement 1: x - 2 is a factor of x⁴ - 13x² + 36.
Statement 2: (2)⁴ - 13 x (2)² + 36 = 0.
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Both the statements are true.
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Statement 1 is true, and statement 2 is false.
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If (x + 1) and (x - 2) are factors of x³ + (a + 1)x² - (b - 2)x - 6, find the values of a and b. And then, factorise the given expression completely.

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