Find the value of 'm', if mx 3 + 2x 2 - 3 and x 2 - mx + 4 leave the same remainder when divided by x - 2.

x - 2 = 0 ⇒ x = 2. Given, mx 3 + 2x 2 - 3 and x 2 - mx + 4 leave the same remainder when divided by x - 2. ∴ m(2) 3 + 2(2) 2 - 3 = (2) 2 - m(2) + 4 8m + 8 - 3 = 4 - 2m + 4 8m + 2m = 8 - 8 + 3 10m = 3 m = . Hence, m = .

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Mathematics

Find the value of 'm', if mx³ + 2x² - 3 and x² - mx + 4 leave the same remainder when divided by x - 2.

Factorisation

Related Questions

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.

If x - 2 is a factor of x² + ax + b and a + b = 1, find the values of a and b.

The polynomial px³ + 4x² - 3x + q is completely divisible by x² - 1; find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

When the polynomial x³ + 2x² - 5ax - 7 is divided by (x - 1), the remainder is A and when the polynomial x³ + ax² - 12x + 16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.

Mathematics

Find the value of 'm', if mx3 + 2x2 - 3 and x2 - mx + 4 leave the same remainder when divided by x - 2.

Factorisation

Related Questions

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.

If x - 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.

The polynomial px3 + 4x2 - 3x + q is completely divisible by x2 - 1; find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

When the polynomial x3 + 2x2 - 5ax - 7 is divided by (x - 1), the remainder is A and when the polynomial x3 + ax2 - 12x + 16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.

Find the value of 'm', if mx³ + 2x² - 3 and x² - mx + 4 leave the same remainder when divided by x - 2.

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.

If x - 2 is a factor of x² + ax + b and a + b = 1, find the values of a and b.

The polynomial px³ + 4x² - 3x + q is completely divisible by x² - 1; find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

When the polynomial x³ + 2x² - 5ax - 7 is divided by (x - 1), the remainder is A and when the polynomial x³ + ax² - 12x + 16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.