MATHEMATICS · Multi-part · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply
Problem
Consider two polynomials A(x) and B(x).
(i) Explain, in your own words, why the sign of every term in B(x) must be changed when subtracting B(x) from A(x). Give a brief reason based on basic algebraic properties.
(ii) Using A(x)=3x2−4x+7 and B(x)=−2x2+5x−3, find and simplify A(x)−B(x).
(iii) State the degree of the simplified polynomial obtained in part (ii) and briefly justify how combining like terms determines this degree.