Factoring the Greatest Common Factor (GCF) of Polynomials
Read this topicExplanations 5
- One approach we can take when factoring a polynomial is to factor out a GCF before factoring the rest of the expression. For example, consider the polynomial 4x2+8x+44x^2+8x+44x…
By Vinitha Ranganeni, Naomi Burgess
- (Videos) Find the GCF with Different Techniques by PatrickJMT and eHow Here's a video by PatrickJMT that demonstrates how to find the greatest common factor of several terms. A …
By Alex Federspiel, Naomi Burgess
- (Videos) Factorize Simple Expressions by HEGARTYMATHS Here are a couple of videos by HEGARTYMATHS that show you how to factor polynomials by pulling out greatest common factors.…
By Alex Federspiel, Naomi Burgess
- (Videos) Factoring by mathman1024 Here's a video by mathman1024 that covers some of the basics of factoring. To factor a polynomial means to express that polynomial as a product…
By Alex Federspiel, Naomi Burgess
- (Video) Factoring out the GCF by Friendly Math 101 Here's a video by Friendly Math 101 that shows you how to factor a GCF out of an expression. The acronym GCF stands for greate…
By Alex Federspiel, Naomi Burgess
Problems 13
- Factor 48x+72y+96z48x+72y+96z48x+72y+96z as much as possible, without fractional terms.
- The expression 488x+80y+168z488x+80y+168z488x+80y+168z factors as a⋅L(x,y,z)a\cdot L(x,y,z)a⋅L(x,y,z), where aaa is a positive integer and LLL is a polynomial with integer coeff…
- What is the greatest common factor of the following polynomial's terms: 5x5−30x3+25x25x^5 - 30x^3 + 25x^25x5−30x3+25x2?
- Let P(x)P(x)P(x) be the greatest common factor of the following polynomial's terms: 30x10+5x6+10x230x^{10} + 5x^6 + 10x^230x10+5x6+10x2. What is the degree of PPP?
- What is the degree of the greatest common factor of the following polynomial's terms: 10x3+20x2+5x10x^3 +20x^2 + 5x10x3+20x2+5x?
- The polynomial P(x)=12x5+10x3+2x2P(x) = 12x^5+ 10x^3 + 2x^2P(x)=12x5+10x3+2x2 factors as AxB⋅Q(x)Ax^B\cdot Q(x)AxB⋅Q(x), where the monomial AxBAx^BAxB is the greatest common fac…
- Let P(x,y)P(x,y)P(x,y) be the greatest common factor of the terms of the polynomial 20x5y9+10x3y6+5x2y320x^5y^9+ 10x^3y^6 + 5x^2y^320x5y9+10x3y6+5x2y3. What is the leading coeff…
- Find the greatest common factor of the following list of polynomials. [x2,8x3,(10x5+2)][x^2,8x^3,(10x^5+2)][x2,8x3,(10x5+2)]
- Find the greatest common factor of the following list of polynomials. [x2,8x3,10x5][x^2,8x^3,10x^5][x2,8x3,10x5]
- What is the GCF of the terms in the polynomial x3y+xy2+xy+yx^3y + xy^2 + xy+yx3y+xy2+xy+y?
- A coin that comes up heads with probability p>0p > 0p>0 and tails with probability 1−p>01-p > 01−p>0 independently on each flip is flipped eight times. Suppose the probability o…
- Let P(x,y)P(x,y)P(x,y) be the greatest common factor of the terms of the polynomial 20x5y9+10x3y6+5x2y320x^5y^9+ 10x^3y^6 + 5x^2y^320x5y9+10x3y6+5x2y3. What is the degree of PPP…
- What is the greatest common factor of the terms of 4x3−2x2+x=04x^3 - 2x^2 + x = 04x3−2x2+x=0, in terms of xxx?