Q1 of 90 Page 31

Determine which of the following polynomials has (x – 1) a factor?

x4 + 3x3 – 3x2 + x – 2

We know that (x – 1) will be the factor of the polynomial if by substituting x = 1 in polynomial we get the zero remainder.

∴ by putting x = 1 in x4 + 3x3 – 3x2 + x – 2, we get -


14 + 3(1)3 – 3(1)2 + 1 – 2 = 1 + 3 – 3 + 1 – 2


= 0


⇒ (x – 1) is a factor of x4 + 3x3 – 3x2 + x – 2


More from this chapter

All 90 →
1

Determine which of the following polynomials has (x – 1) a factor?

x4 – 2x3 – 3x2 + 2x + 2

 1

Determine which of the following polynomials has (x – 1) a factor?

x4 + x3 + x2 + x + 1

 1

Determine which of the following polynomials has (x – 1) a factor?

x3 – x2 – (2 + √3)x + √3

 2

Use the factor theorem to determine whether g(x) is a factor of p(x)?

p(x) = 3x3 – x2 – 3x + 1; g(x) = x + 1