Find the value of a, if the division of ax 3 + 9x 2 + 4x - 10 by x + 3 leaves a remainder 5.

x + 3 = 0 ⇒ x = -3. Given, when ax 3 + 9x 2 + 4x - 10 is divided by x + 3, the remainder is 5. ∴ On substituting x = -3 in ax 3 + 9x 2 + 4x - 10, remainder = 5. ⇒ a(-3) 3 + 9(-3) 2 + 4(-3) - 10 = 5 ⇒ -27a + 81 - 12 - 10 = 5 ⇒ -27a + 59 = 5 ⇒ 27a = 59 - 5 ⇒ 27a = 54 ⇒ a = = 2 Hence, a = 2.

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

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Mathematics

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

Factorisation

Related Questions

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

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

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.

What number should be added to 3x³ - 5x² + 6x so that when resulting polynomial is divided by x - 3, the remainder is 8 ?

Mathematics

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

Factorisation

Related Questions

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

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

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.

What number should be added to 3x3 - 5x2 + 6x so that when resulting polynomial is divided by x - 3, the remainder is 8 ?

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

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

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

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.

What number should be added to 3x³ - 5x² + 6x so that when resulting polynomial is divided by x - 3, the remainder is 8 ?