Unit 3 • Lessons 4–6 — Polynomial Operations (Quiz 2)
Adding & Subtracting Polynomials • Trinomial × Binomial • Simplifying Expressions
Add/Subtract Polynomials
Trinomial × Binomial
Combine Like Terms
Special Products
Practice Set
Show your work on each whiteboard before checking answers. You get 2 attempts per question.
1) Add Polynomials
Simplify \((3x^2+5x-7)+(4x^2-2x+3)\).Combine like terms: \((3+4)x^2+(5-2)x+(-7+3)=7x^2+3x-4.\)
2) Subtract Polynomials
Simplify \((5x^2-3x+8)-(2x^2+4x-6)\).Subtract coefficients: \((5-2)x^2+(-3-4)x+(8-(-6))=3x^2-7x+14.\)
3) Trinomial × Binomial
Simplify \((x^2+2x+3)(x+1)\).Multiply each term by \((x+1)\): \(x^3+x^2+2x^2+2x+3x+3=x^3+3x^2+5x+3.\)
4) Special Product — Perfect Square Trinomial
Simplify \((2x-5)^2\).Use \((a-b)^2=a^2-2ab+b^2\): \(4x^2-20x+25.\)
5) Difference of Squares Review
Simplify \((x+6)(x-6)\).\((a+b)(a-b)=a^2-b^2\Rightarrow x^2-36.\)
6) Simplify Mixed Expression
Simplify \((x^2+4x+4)-(x^2-2x-8)\).Subtract all terms: \(x^2+4x+4-x^2+2x+8=6x+12.\)
Progress
Score: 0/6