Home/Algebra/Algebraic expressions/Sum of polynomials3. Algebraic expressionsSum of polynomialsLevel: fundamentalIn 3. Algebraic expressionsFormulaCopy LaTeX(P+Q)(x)=∑k(ak+bk)xk(P+Q)(x)=\sum_k(a_k+b_k)x^k(P+Q)(x)=k∑(ak+bk)xkTagsalgebraexpressions algebraicalgebra formulapolynomialsDetailCoefficients of like-degree terms are added.Found an error? Contact us.Related formulasRelatedPolynomial of degree nP(x)=anxn+an−1xn−1+⋯+a1x+a0P(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0P(x)=anxn+an−1xn−1+⋯+a1x+a0Open formulaOpen in sectionRelatedProduct of polynomials(∑iaixi)(∑jbjxj)=∑k(∑i+j=kaibj)xk(\sum_i a_ix^i)(\sum_j b_jx^j)=\sum_k(\sum_{i+j=k}a_ib_j)x^k(i∑aixi)(j∑bjxj)=k∑(i+j=k∑aibj)xkOpen formulaOpen in section