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

x² + 4

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x² - 3

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x - 4

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2x - 3

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Solution

The correct option is D
2x - 3

Divide f(x) by g(x) and find the remainder r(x) = 2x - 3. Hence, (2x – 3) should be subtracted.

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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

The correct option is D 2x - 3Divide f(x) by g(x) and find the remainder r(x) = 2x - 3. Hence, (2x – 3) should be subtracted.

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

The correct option is D
2x - 3

Divide f(x) by g(x) and find the remainder r(x) = 2x - 3. Hence, (2x – 3) should be subtracted.