When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.
Factorisation
73 Likes

Question

When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

KnowledgeBoat · Accepted Answer

x - 2 = 0 ⇒ x = 2. Given, when x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. ∴ On substituting x = 2 in x³ + 2x² - kx + 4, remainder = k. ⇒ (2)³ + 2(2)² - k(2) + 4 = k ⇒ 8 + 8 - 2k + 4 = k ⇒ 20 - 2k = k ⇒ 3k = 20 ⇒ k = Hence, k =

Mathematics

When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

Factorisation

Related Questions

Find the value of k, if 2x + 1 is a factor of (3k + 2)x³ + (k - 1).

Find the values of m and n so that x - 1 and x + 2 both are factors of
x³ + (3m + 1)x² + nx - 18.

Find the value of a, if the division of ax³ + 9x² + 4x - 10 by x + 3 leaves a remainder 5.

If x³ + ax² + bx + 6 has x - 2 as a factor and leaves a remainder 3 when divided by x - 3, find the values of a and b.

Mathematics

When x3 + 2x2 - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

Factorisation

Related Questions

Find the value of k, if 2x + 1 is a factor of (3k + 2)x3 + (k - 1).

Find the values of m and n so that x - 1 and x + 2 both are factors ofx3 + (3m + 1)x2 + nx - 18.

Find the value of a, if the division of ax3 + 9x2 + 4x - 10 by x + 3 leaves a remainder 5.

If x3 + ax2 + bx + 6 has x - 2 as a factor and leaves a remainder 3 when divided by x - 3, find the values of a and b.

When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

Find the value of k, if 2x + 1 is a factor of (3k + 2)x³ + (k - 1).

Find the values of m and n so that x - 1 and x + 2 both are factors of
x³ + (3m + 1)x² + nx - 18.

Find the value of a, if the division of ax³ + 9x² + 4x - 10 by x + 3 leaves a remainder 5.

If x³ + ax² + bx + 6 has x - 2 as a factor and leaves a remainder 3 when divided by x - 3, find the values of a and b.