Adding Polynomials - Process & Examples
Read this topicExplanations 3
- Adding polynomials is pretty straightforward; add the coefficients of corresponding terms. For example: (3x2+5x−2)+(4x2−6x+10)=(3+4)x2+(5−6)x+(−2+10)=7x2−x+8\begin{align}&(3x^2+…
By Michael Yang, Benjamin Qi, Moor Xu, Naomi Burgess, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- (Video) Adding and Subtracting Polynomials by PatrickJMT This video by PatrickJMT shows how you add and subtract polynomials. Summary\large{\text{Summary}}Summary First, we need…
By Stefan Cuevas, Naomi Burgess, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Adding Polynomials In order to add polynomials together, add together the coefficients of terms with the same exponents. You'll also add constants (terms without variables) toge…
By Hannah Bonville, Naomi Burgess, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
Problems 26
- What is the sum of the polynomials x2+3x+2x^2 + 3x + 2x2+3x+2 and x3+4x+1x^3 + 4x + 1x3+4x+1?
- The sum of x2+x+1x^2 + x + 1x2+x+1 and 3x2−2x+43x^2 - 2x + 43x2−2x+4 is a polynomial. What is the value of this polynomial when x=1x=1x=1?
- Find the sum of the following three polynomials: 2+x32 + x^32+x3 x2−xx^2 - xx2−x x3+x2+1x^3 + x^2 + 1x3+x2+1
- What is the sum of the polynomials x3+10x2+5x+2x^3 +10x^2 + 5x + 2x3+10x2+5x+2 and x3+4x+1x^3 + 4x + 1x3+4x+1?
- Find the sum of the following three polynomials: 3+x3+x3 + x^3 + x3+x3+x 2x2−x2x^2 - x2x2−x 2x3+x2+32x^3 + x^2 + 32x3+x2+3
- Simplify (−2x2−9x+4)+(7x2−6x+10).(-2x^2-9x+4)+(7x^2-6x+10).(−2x2−9x+4)+(7x2−6x+10).
- What is the sum of (x2+x)(x^2 + x)(x2+x) and (2x2+3x+2)(2x^2 + 3x + 2)(2x2+3x+2)?
- What is the sum of (x2+x)(x^2 + x)(x2+x) and (x2−x)(x^2 - x)(x2−x)?
- What is the sum of (3x3+2x2−2x3+3x−7+x−3+x3)(3x^3 + 2x^2 - 2x^3 + 3x -7 +x -3 + x^3)(3x3+2x2−2x3+3x−7+x−3+x3) and (x2−2x3+9−3x)(x^2 -2x^3 + 9 -3x)(x2−2x3+9−3x)?
- Simplify (−3a3+2a2b−5ab2)+(3a3−ab+5b2)(-3a^3+2a^2b-5ab^2)+(3a^3-ab+5b^2)(−3a3+2a2b−5ab2)+(3a3−ab+5b2).
- When 4x2+3x−14x^2 + 3x - 14x2+3x−1 and 2x3+7x+32x^3 + 7x + 32x3+7x+3 are added together, how many terms does the resulting polynomial have?
- What kind of polynomial results from simplifying the expression (3x3−4x2+2)+(2x3+5x2−3)(3x^3 - 4x^2 + 2) + (2x^3 + 5x^2 - 3)(3x3−4x2+2)+(2x3+5x2−3)
- What is the simplified and standard form of the polynomial? 4x−2x2+3−4x3+2x−5x2+14x - 2x^2 + 3 - 4x^3 + 2x - 5x^2 + 14x−2x2+3−4x3+2x−5x2+1
- A bakery makes 4x2−3x+24x^2 - 3x + 24x2−3x+2 cookies and x2+2x−4x^2 + 2x - 4x2+2x−4 brownies every day. How many baked goods does it make in total per day? (Assume the bakery on…
- Which of the following describes the polynomial that results from simplifying the expression (4x−4)+(3x+1)(4x - 4) + (3x + 1)(4x−4)+(3x+1)?
- Can the sum (3x2−2)+(2x3+x)(3x^2 - 2) + (2x^3 + x)(3x2−2)+(2x3+x) be simplified any further using addition?
- If Bob has 4x2−x+34x^2 - x + 34x2−x+3 spring rolls and Agatha has x3−3x+1x^3 - 3x + 1x3−3x+1 spring rolls, how many spring rolls do they have in total?
- A triangle has a perimeter of 6x+86x + 86x+8 inches. If side AAA has length 3x+23x + 23x+2 in, and side BBB has length 2x+42x + 42x+4 in, what is the length of side CCC?
- Michelle is simplifying the expression 3x2−2x+4x+33x^2 - 2x + 4x + 33x2−2x+4x+3. Which terms can she combine?
- Simplify (4x2+3)+(3x3x2−1)(\sqrt{4x^2} + 3) + (\frac{3x^3}{x^2} - 1)(4x2+3)+(x23x3−1), given that x>0x>0x>0.
- What is (3x+3)+(2x−1)+(x2+4)(3x + 3) + (2x - 1) + (x^2 + 4)(3x+3)+(2x−1)+(x2+4)?
- Which of the following expressions can be added to 3x2+33x^2 + 33x2+3 to give a trinomial?
- What kind of polynomial results from simplifying the expression (x4−4x2+2x)+(3x2−3)(x^4 - 4x^2 + 2x) + (3x^2 - 3)(x4−4x2+2x)+(3x2−3)?
- Simplify the expression (x2)+2[(x4)+2(x2)]\left(x^2\right)+2\left[\left(x^4\right)+2\left(x^2\right)\right](x2)+2[(x4)+2(x2)] by distributing, and then collecting like terms.
- What is the sum of the polynomials 4x3+8x2−x+194x^{3}+8x^{2}-x+194x3+8x2−x+19 and 7x4+2x3−8x2+7x−57x^{4}+2x^{3}-8x^{2}+7x-57x4+2x3−8x2+7x−5?
- Add the following expressions: 5x2+3x+x+43x2+0x+6x−4\begin{align}\\ 5x^{2}+3x+\sqrt{x}&+4\\ 3x^{2}+0x+6\sqrt{x}&-4\\ \end{align}5x2+3x+x3x2+0x+6x+4−4