GCF
Solve this porblem using gcf
y3+9y2
y2(y+9)
12a3 − 9a2 + 4a − 3
(3a2 + 1)(4a − 3)
Factor completely #84
9x^2 +25
(3x+5)(3x+5)
what does is mean when a polynomial is prime?
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree
Solve by factoring, Check your solution #91
x^2-x-20=0
(x+4)(x-5)=0
x={-4,5}
x2+9x+20
(x+5)(x+4)
Grouping is also known as what
Factoring Pairs
Factor Completely #85
x^2+4x+3
(x+1)(x+3)
What does it mean to factor a polynomial
Factoring polynomials involves breaking up a polynomial into simpler terms so when the terms are multiplied together they equal the original polynomial.
Solve by factoring, Check your solution. #92
2x^2-2x=4
(x+2/2)(x-4/2)
x:{-1, 2)
2y2-16y+32
2(y-4)2
m3 − m2 + 2m − 2
(m2 + 2)(m − 1)
Factor completely #83
8a^2x-2b^2x
2x(4a^2 -b^2)
2x(2a-b)(2a+b)
What are the five things included in factoring polynomials
Grouping like terms
Finding the difference of perfect squares:
Factoring quadratic trinomials
Factoring using real and complex numbers
Finding the greatest common factor
Solve by factoring, Check you answer #93
3x^2=x+4
(x+3/3)(x-4/3)
x={-1, 4/3}
4x3-25x2+6x
x(4x-1)(x-6)
192x2 y + 72x3 − 24rxy − 9rx2
3x(8x − r)(8y + 3x)
Factor completely #82
20x^2y^2+15x^3y^2z-30x^2y^3z^2
5x^2y^2(4y^3+3xz-6yz^2)
15x2-18x-24
3(5x+4)(x-2)
Solve using the quadratic formula. Round answers to three decimal places if necessary. #94
y^2 +10y+11=0
(-b +- sqrt(b^2-4ac))/(2a)
-3.268
ay-yx-x2+ax
(y+x)(a-x)
105xuv + 60xv − 70xu − 90xv2
5x(7u − 6v)(3v − 2)
2a^2+5a-12
(a+4)(2a-3)
what is the inverse process of factoring polynomials
multiplying polynomials
Solve using the quadratic formula. Round answers to three decimal places if necessary. #96
4x^2+4x+1
(-b +- sqrt(b^2-4ac))/(2a)
-.5 or -1/2