Question

Find k such that f(x) = x^4+ kx³ + 2 has the factor x + 1.

Answer 1

K = 1 is the value when x = - 1 is Factor of equation .

Why do we use the term factors?

• A factor is a number that completely divides another number.
• In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them.
• Factors can be found using either division or multiplication.
• As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

f(x) = x^4+ kx³ + 2

x + 1 = 0

x = -1 put in equation

(-1)⁴ + k( -1)³ + 2 = 0

1 - k + 2 =0

k = 1

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