If on dividing 4x 2 - 3kx + 3 by (x + 2), the remainder is k - 1, then the value of k is : 1. 4 2. -4 3. 3 4. -3

The remainder theorem states that when we divide a polynomial p(x) by (x - a), then the remainder is given by p(a). Given, On dividing 4x 2 - 3kx + 3 by (x + 2), the remainder is k - 1. ⇒ x + 2 = 0 ⇒ x = -2. Substituting x = -2, in 4x 2 - 3kx + 3, we get remainder (k - 1) : ⇒ 4(-2) 2 - 3k(-2) + 3 = k - 1 ⇒ 4 × 4 + 6k + 3 = k - 1 ⇒ 16 + 6k + 3 = k - 1 ⇒ 6k + 19 = k - 1 ⇒ 6k - k = -1 - 19 ⇒ 5k = -20 ⇒ k = = -4. Hence, Option 2 is the correct option.

A dealer in Lucknow (U.P.) sells goods worth ₹ 50,000 to a dealer in Agra (U.P.). If the rate of GST is 18%, the CGST is :
₹ 3,000
₹ 6,000
₹ 4,500
Nil

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If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :
2
4
-2
-4

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Mathematics

If on dividing 4x² - 3kx + 3 by (x + 2), the remainder is k - 1, then the value of k is :
4
-4
3
-3

Factorisation

Related Questions

A dealer in Lucknow (U.P.) sells goods worth ₹ 50,000 to a dealer in Agra (U.P.). If the rate of GST is 18%, the CGST is :
₹ 3,000
₹ 6,000
₹ 4,500
Nil

If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :
2
4
-2
-4

Mathematics

If on dividing 4x2 - 3kx + 3 by (x + 2), the remainder is k - 1, then the value of k is :4-43-3

Factorisation

Related Questions

A dealer in Lucknow (U.P.) sells goods worth ₹ 50,000 to a dealer in Agra (U.P.). If the rate of GST is 18%, the CGST is :₹ 3,000₹ 6,000₹ 4,500Nil

If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :24-2-4

If on dividing 4x² - 3kx + 3 by (x + 2), the remainder is k - 1, then the value of k is :
4
-4
3
-3

A dealer in Lucknow (U.P.) sells goods worth ₹ 50,000 to a dealer in Agra (U.P.). If the rate of GST is 18%, the CGST is :
₹ 3,000
₹ 6,000
₹ 4,500
Nil

If a - 1, a + 3, 3a - 1 are in A.P. then the value of a is :
2
4
-2
-4