The quadratic polynomial is to be expressed as a product of linear factors.
MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1
Problem
The quadratic polynomial −18x2+3x+45 is to be expressed as a product of linear factors.
(i) Factor out the greatest common factor from −18x2+3x+45.
(ii) Factor the resulting quadratic expression completely into linear factors.
(iii) Write the factorised form of the original polynomial in two different arrangements of terms and show that both lead to the same final answer.