Factor Out a Monomial - Definition & Examples
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- (Video) Solving Polynomial Equations by yaymath This video by yaymath covers factoring with various polynomials. Summary\large{\text{Summary}}Summary First, our instructor demon…
By Alex Federspiel, Naomi Burgess, Liza Sulkin, Joshua Siktar, Amy Feraco, Jonathan Heller, Anusha Rahman
- Using Common Factors to...Factor! Factoring a quadratic equation lets us brake it into smaller parts. This makes it easier for us to solve for xxx. Let's take a look at a quadra…
By Hannah Bonville, Naomi Burgess, Zora Gilbert, Alex Federspiel, Jonathan Heller, Anusha Rahman
- We already know how to factor quadratic expressions with the general form: ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0 Sometimes, though, we're tasked with factoring expressions that look a…
By Hannah Bonville, Naomi Burgess, Alex Federspiel, Liza Sulkin, Jonathan Heller, Anusha Rahman
Problems 26
- What is the greatest monomial factor of the polynomial x4+x3−8x2x^4+x^3-8x^2x4+x3−8x2?
- Which of the following is the simplest factorization of x4+x3−x2x^4 + x^3 - x^2x4+x3−x2?
- Enter a monomial that you can factor out of the following polynomial expression without a fractional result: x3−4x2+4xx^3-4x^2+4xx3−4x2+4x
- Which of the following polynomials can be factored by a monomial?
- Simplify the following expression. (10x2−4y+z3)−(108y+15z3−4x2)(10x^2-4y+z^3) - (108y+15z^3-4x^2)(10x2−4y+z3)−(108y+15z3−4x2)
- What is the greatest monomial factor of the polynomial x8+x5−8x3x^8+x^5-8x^3x8+x5−8x3?
- Which of the following monomials can you factor out of the expression x4−10x3+4x2x^4-10x^3+4x^2x4−10x3+4x2 without a fractional result?
- Which of the following monomials can you factor out of the expression x5−12x4+4x3x^5-12x^4+4x^3x5−12x4+4x3 without a fractional result?
- Which of the following are factors of the polynomial x3+3x2+2xx^3 + 3x^2 + 2xx3+3x2+2x?
- Let U=xy2−yU = xy^2-yU=xy2−y and V=yV = yV=y, and suppose U=V⋅WU = V\cdot WU=V⋅W for some polynomial WWW in xxx and yyy. What is the value of WWW when both x,yx,yx,y are set equ…
- Simplify x8−4x÷x26−3x\frac{x}{8-4x}\div\frac{x^2}{6-3x}8−4xx÷6−3xx2 when x>10x>10x>10.
- How many different lines does the graph of x4=x2y2x^4 = x^2y^2x4=x2y2 contain? Source: Alex Zhu, Problems of the Week 1, 2012
- What is the greatest common factor of the terms of 4x3−16x2+4x4x^3 - 16x^2 + 4x4x3−16x2+4x?
- What is the greatest common factor of the terms of 9x2−18x+69x^2 - 18x + 69x2−18x+6?
- Which of the following is not equivalent to 2x3−4x2+8x=02x^3 - 4x^2 + 8x = 02x3−4x2+8x=0?
- What is the greatest common factor between 6x26x^26x2 and 9x9x9x?
- What is the greatest common factor between the three terms in 4x3−6x2+18x4x^3 - 6x^2 + 18x4x3−6x2+18x?
- Which of the following expressions is not equivalent to 3x3−6x2−9x3x^3 - 6x^2 - 9x3x3−6x2−9x?
- Which of the following is not a common factor between 14x214x^214x2 and 21x321x^321x3?
- Which of the following is not a factored form of ab2−ac2ab^2 - ac^2ab2−ac2?
- What is the greatest monomial we can factor out of 7x3−14x2+7x7x^3 - 14x^2 + 7x7x3−14x2+7x?
- ∣2x−x2∣=∣3x−x2∣|2x-x^2|=|3x-x^2|∣2x−x2∣=∣3x−x2∣ Find all possible values of xxx.
- Factor: 4x2−4x−84x^2-4x-84x2−4x−8
- −5(5x2+10x+4)-5(5x^2+10x+4)−5(5x2+10x+4) is the factored form of which of the following polynomials?
- Which of the following is not equivalent to the following equation: x4+4x3−12x2=0x^4+4x^3-12x^2=0x4+4x3−12x2=0
- Factor: x4+3x2+2x^4 + 3x^2 + 2x4+3x2+2