What is The next Step When Solving This Equation?
What is the first step when solving this equation?
27x3+9x2+14x+7=0
Break the problem in two (27x3+9x2)(14x+7)
What is the first step when factoring 8x3 + 27?
Get them in cube form, 2x3 + 33
How many terms are needed in a polynomial?
Poly means more than one. Terms > 1
What are the answers to this equation x4-11x2-42=0?
x= ±i√3 or ±√14.
Can this equation be solved using factoring?
x2+5x-4=0
No it can not.
What is the next step in this polynomial? (three terms) 15x2-12x+3=0
Expand 15x2-15x+3x+3 or (15x2-15x)(3x+3)
What is the first step when factoring 3x4 + 14x2 + 8?
Break them up into 2 groups, (3x4 + 12x2)+(2x2+8)
Is 3x4+14x2+8, able to be solved?
No, this equation can only be factored.
What are the answers to this equation x4-16x-57=0?
x= ±i√3 or ±√19
What is the first step when solving 4x2-7x=-10?
Moving all non-zero numbers to one side,
4x2-7x+10=0
What is the next step in this polynomial? (49x3-28x2)
(35x-20)=0
Take out a GCF for both binomials 7x2 (7x-4) 5(7x-4)
What is the first step when factoring x3+7x2+2x+14?
Break the polynomial into 2, (x3+7x2)+ (2x+14).
What is the quadratic equation?
x= (-b±√b2-4ac)/2a
What are the answers to this problem,
(4x2+9) (5x+9)=0?
x=-9/5 and x= ±3i/2
What’s the first step when factoring 6x4-12x3+4x2=0?
Use GCF to reduce them all to 2x2(3x2-6x+2)
What formula would you use when solving a sum of cubes?
(a3+b3)=
(a-b)(a2-ab+b2)
What is the next step when factoring x2(x+7)+2(x+7)?
Separate the x+7, (x+7)(x2+2)
When factoring a trinomial how are terms a, b, and c related?
The factors must be of a*c and add up to b.
What are the answers to this equation? (7x2+16)(4x+2)=0
x= ±(4i√7)/7 or x=-1/2
What’s the next step when solving?
3x(2x2+7x-15)=0
Expand the equation, 3x(2x2+10x-3x-15)
How would you factor this difference of cubes? (27x3-64)=0
(3x-4) (9x2+12x+16)
What is the next step when factoring 8x3 + 33?
Use the difference of cubes formula,
(2x + 3)(4x2 −6x + 32)
What is the formula for solving difference of cubes?
(a3-b3)= (a-b)(a2+ab+b2).
What are the answers to this equation? 18x3+12x2+48x+32=0
x= ±(2i√6)/3 or -2/3
What are the answers to this equation? 2x4+14x2+20=0
(Hint: one of the answers are complex)
x=±2 or ±i√5