If x - 3 is a factor of x 2 + kx + 15; the value of k is : 1. 8 2. 3 3. -5 4. -8

By factor theorem, If x - a is the factor of polynomial f(x), then remainder f(a) = 0. Given, x - 3 is a factor of x 2 + kx + 15. Then substituting x = 3 in polynomial we get, remainder = 0 : ⇒ 3 2 + 3k + 15 = 0 ⇒ 9 + 3k + 15 = 0 ⇒ 3k + 24 = 0 ⇒ 3k = -24 ⇒ k = = -8. Hence, Option 4 is the correct option.

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The remainder, when x³ - x² + x - 1 is divided by x + 1, is :
0
-4
2
4

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Is (x - 2) a factor of x³ - 4x² - 11x + 30 ?
yes
no
nothing can be said
none of the above is true

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4x² - kx + 5 leaves a remainder 2 when divided by x - 1. The value of k is :
-6
6
7
-7

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Mathematics

If x - 3 is a factor of x² + kx + 15; the value of k is :
8
3
-5
-8

Factorisation

Related Questions

The remainder, when x³ - x² + x - 1 is divided by x + 1, is :
0
-4
2
4

Is (x - 2) a factor of x³ - 4x² - 11x + 30 ?
yes
no
nothing can be said
none of the above is true

4x² - kx + 5 leaves a remainder 2 when divided by x - 1. The value of k is :
-6
6
7
-7

Mathematics

If x - 3 is a factor of x2 + kx + 15; the value of k is :83-5-8

Factorisation

Related Questions

The remainder, when x3 - x2 + x - 1 is divided by x + 1, is :0-424

Is (x - 2) a factor of x3 - 4x2 - 11x + 30 ?yesnonothing can be saidnone of the above is true

4x2 - kx + 5 leaves a remainder 2 when divided by x - 1. The value of k is :-667-7

If x - 3 is a factor of x² + kx + 15; the value of k is :
8
3
-5
-8

The remainder, when x³ - x² + x - 1 is divided by x + 1, is :
0
-4
2
4

Is (x - 2) a factor of x³ - 4x² - 11x + 30 ?
yes
no
nothing can be said
none of the above is true

4x² - kx + 5 leaves a remainder 2 when divided by x - 1. The value of k is :
-6
6
7
-7