If on dividing 4x 2 - 3kx + 5 by x + 2, the remainder is -3 then the value of k is 1. 4 2. -4 3. 3 4. -3

By remainder theorem, on dividing f(x) by (x - a), the remainder left is f(a). f(x) = 4x 2 - 3kx + 5 ∴ On dividing f(x) by x + 2 or (x - (-2)), Remainder = f(-2) Given, remainder = -3 ∴ f(-2) = -3 ∴ Option 2, is the correct option.

Given f(x) = ax² + bx + 2 and g(x) = bx² + ax + 1. If (x - 2) is a factor of f(x) but leaves the remainder -15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression
f(x) + g(x) + 4x² + 7x

View Answer Bookmark Now

When 2x³ - x² - 3x + 5 is divided by 2x + 1, then the remainder is
6
-6
-3
0

View Answer Bookmark Now

If on dividing 2x³ + 6x² - (2k - 7)x + 5 by (x + 3), the remainder is k - 1 then the value of k is
2
-2
-3
3

View Answer Bookmark Now

If x + 1 is a factor of 3x³ + kx² + 7x + 4, then the value of k is
-1
0
6
10

View Answer Bookmark Now

Mathematics

If on dividing 4x² - 3kx + 5 by x + 2, the remainder is -3 then the value of k is
4
-4
3
-3

Factorisation

Related Questions

Given f(x) = ax² + bx + 2 and g(x) = bx² + ax + 1. If (x - 2) is a factor of f(x) but leaves the remainder -15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression
f(x) + g(x) + 4x² + 7x

When 2x³ - x² - 3x + 5 is divided by 2x + 1, then the remainder is
6
-6
-3
0

If on dividing 2x³ + 6x² - (2k - 7)x + 5 by (x + 3), the remainder is k - 1 then the value of k is
2
-2
-3
3

If x + 1 is a factor of 3x³ + kx² + 7x + 4, then the value of k is
-1
0
6
10

Mathematics

If on dividing 4x2 - 3kx + 5 by x + 2, the remainder is -3 then the value of k is4-43-3

Factorisation

Related Questions

Given f(x) = ax2 + bx + 2 and g(x) = bx2 + ax + 1. If (x - 2) is a factor of f(x) but leaves the remainder -15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expressionf(x) + g(x) + 4x2 + 7x

When 2x3 - x2 - 3x + 5 is divided by 2x + 1, then the remainder is6-6-30

If on dividing 2x3 + 6x2 - (2k - 7)x + 5 by (x + 3), the remainder is k - 1 then the value of k is2-2-33

If x + 1 is a factor of 3x3 + kx2 + 7x + 4, then the value of k is-10610

If on dividing 4x² - 3kx + 5 by x + 2, the remainder is -3 then the value of k is
4
-4
3
-3

Given f(x) = ax² + bx + 2 and g(x) = bx² + ax + 1. If (x - 2) is a factor of f(x) but leaves the remainder -15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression
f(x) + g(x) + 4x² + 7x

When 2x³ - x² - 3x + 5 is divided by 2x + 1, then the remainder is
6
-6
-3
0

If on dividing 2x³ + 6x² - (2k - 7)x + 5 by (x + 3), the remainder is k - 1 then the value of k is
2
-2
-3
3

If x + 1 is a factor of 3x³ + kx² + 7x + 4, then the value of k is
-1
0
6
10