Sum of cubes
Simplify into factored form.
27+125b3
(5b+3) (25b2-15b+9)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
x3-27
(2y-3z) (4y2+6yz+9z2)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
3x2-12x+12
(x-2) (3x-6)
Foiling the two terms causes them to multiply into the standard form polynomial.
Find X
2x2+8x+6
x=-2,-3
Factor completely then set factored form equal to zero for all terms and solve.
what is the following polynomial in factored form?
x2-4
(x-2) (x+2)
Both "bx" cancel each other out and equal zero causing the polynomial to be a difference of squares.
Simplify into factored form.
27+64q3
(4q+3) (16q2-12q+9)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
8y3-27z3
(2y-3z) (4y2+6yz+9z2)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
Find X
(x-2) (3x-6)
x= 2
If we set both terms to zero and solve then both will equal zero causing "x" to have only one value.
Find X
4x2-2x-12
x=-3,4
Factor completely then set factored form equal to zero for all terms and solve.
what is the following polynomial in factored form?
4x2-81
(2x-9) (2x+9)
Both "bx" cancel each other out and equal zero causing the polynomial to be a difference of squares.
Simplify into factored form.
27m3+1
(3m+1) (9m2-3m+1)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
1331x3-729y3
(11x-9y) (121x2+99xy+81y2)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
Which way will the quadratic face; up or down?
-x2+x-20
Down, because whether there is or isn't a negative value of "ax" determines which way the function will move.
Find X
8x2+22x-30
x=1,-15/4
Factor completely then set factored form equal to zero for all terms and solve.
what is the following polynomial in factored form?
9x2-16
(3x-4) (3x+4)
Both "bx" cancel each other out and equal zero causing the polynomial to be a difference of squares.
Simplify into factored form.
125+64v3
(4v+5) (16v2-20v+25)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
1000m3-125n3
(10m-5n) (100m2+50mn+25n2)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
Find the vertex of the following quadratic function
y = 2(x-5)2-3
(5,-3)
since the quadratic function is in vertex form (f(x)=a(x-h)2+k) we can find the point from "-h" and "k"
Find X
16x2-16x-12
x=3/2,-1/2
Factor completely then set factored form equal to zero for all terms and solve.
what is the following polynomial in factored form?
16x2-49
(4x-7) (4x+7)
Both "bx" cancel each other out and equal zero causing the polynomial to be a difference of squares.
Simplify into factored form.
x3+8
(x+2) (x2-2x+4)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
what is the following polynomial in factored form?
512a3-729b3
(8a-9b) (64a2+72ab+81b2)
Using SOAP (Same Opposite Always Positive) we can find the value of each of the coefficients within each term and solve.
list the vertex and the first 4 points in the following quadratic function
y=2(x-4)2+5
Vertex: (4,5)
Points: (2,13) (3,7) (5,7) (6,13)
Since the function is in vertex form (f(x)=a(x-h)+k), we can find the vertex from "-h" and "k"
Find X
32x2+12x-20
x= 5/8, -1
Factor completely then set factored form equal to zero for all terms and solve.
what is the following polynomial in factored form?
25x2-64
(5x-8) (5x+8)
Both "bx" cancel each other out and equal zero causing the polynomial to be a difference of squares.