What number should be subtracted from 2x 3 - 5x 2 + 5x so that the resulting polynomial has 2x - 3 as a factor?

Let the number to be subtracted be a. f(x) = 2x 3 - 5x 2 + 5x - a If, (2x - 3) or 2(x - ()) is a factor of f(x) then f() = 0, by factor theorem Hence, the number to be subtracted is 3.

If (3x - 2) is a factor of 3x³ - kx² + 21x - 10, find the value of k.

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If (x - 2) is a factor of 2x³ - x² - px - 2, then
(i) Find the value of p.
(ii) with this value of p, factorise the above expression completely.

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Find the value of the constants a and b, if (x - 2) and (x + 3) are both factors of the expression x³ + ax² + bx - 12.

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If (x + 2) and (x + 3) are factors of x³ + ax + b, find the values of a and b.

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Mathematics

What number should be subtracted from 2x³ - 5x² + 5x so that the resulting polynomial has 2x - 3 as a factor?

Factorisation

Related Questions

If (3x - 2) is a factor of 3x³ - kx² + 21x - 10, find the value of k.

If (x - 2) is a factor of 2x³ - x² - px - 2, then
(i) Find the value of p.
(ii) with this value of p, factorise the above expression completely.

Find the value of the constants a and b, if (x - 2) and (x + 3) are both factors of the expression x³ + ax² + bx - 12.

If (x + 2) and (x + 3) are factors of x³ + ax + b, find the values of a and b.

Mathematics

What number should be subtracted from 2x3 - 5x2 + 5x so that the resulting polynomial has 2x - 3 as a factor?

Factorisation

Related Questions

If (3x - 2) is a factor of 3x3 - kx2 + 21x - 10, find the value of k.

If (x - 2) is a factor of 2x3 - x2 - px - 2, then(i) Find the value of p.(ii) with this value of p, factorise the above expression completely.

Find the value of the constants a and b, if (x - 2) and (x + 3) are both factors of the expression x3 + ax2 + bx - 12.

If (x + 2) and (x + 3) are factors of x3 + ax + b, find the values of a and b.

What number should be subtracted from 2x³ - 5x² + 5x so that the resulting polynomial has 2x - 3 as a factor?

If (3x - 2) is a factor of 3x³ - kx² + 21x - 10, find the value of k.

If (x - 2) is a factor of 2x³ - x² - px - 2, then
(i) Find the value of p.
(ii) with this value of p, factorise the above expression completely.

Find the value of the constants a and b, if (x - 2) and (x + 3) are both factors of the expression x³ + ax² + bx - 12.

If (x + 2) and (x + 3) are factors of x³ + ax + b, find the values of a and b.