2025 · Q9
Which one of the following polynomials has (x+2) as a factor?
Elementary MathematicsAlgebra
- Ax^5-4x^4-3x^3+8x^2-14x+12
- Bx^5+4x^4-3x^3+8x^2-14x+12
- Cx^5-4x^4+3x^3+8x^2-14x+12
- Dx^5-4x^4-3x^3+8x^2+14x+12
Explanation
Test x=-2 (Factor Theorem). For option A: (-32)-4(16)-3(-8)+8(4)-14(-2)+12=-32-64+24+32+28+12=0, so (x+2) is a factor. The other options do not vanish at x=-2 (sign flips on the odd/even-degree terms spoil it).