If on dividing 2x 3 + 6x 2 - (2k - 7)x + 5 by (x + 3), the remainder is k - 1 then the value of k is 1. 2 2. -2 3. -3 4. 3

By remainder theorem, on dividing f(x) by (x - a), the remainder left is f(a). f(x) = 2x 3 + 6x 2 - (2k - 7)x + 5 ∴ On dividing f(x) by x + 3 or (x - (-3)), Remainder = f(-3) Given, remainder = k - 1 ∴ f(-3) = k - 1 ∴ Option 4, is the correct option.

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

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

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

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What must be subtracted from the polynomial x³ + x² - 2x + 1, so that the result is exactly divisible by (x - 3)?
–31
–30
30
31

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Mathematics

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

Factorisation

Related Questions

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

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

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

What must be subtracted from the polynomial x³ + x² - 2x + 1, so that the result is exactly divisible by (x - 3)?
–31
–30
30
31

Mathematics

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

Factorisation

Related Questions

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

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

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

What must be subtracted from the polynomial x3 + x2 - 2x + 1, so that the result is exactly divisible by (x - 3)?–31–303031

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

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

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

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

What must be subtracted from the polynomial x³ + x² - 2x + 1, so that the result is exactly divisible by (x - 3)?
–31
–30
30
31