Solving Polynomials by Factoring Pt 1
(a=1,a>1)
(a=1,a>1)
What are the solutions to the following polynomial equation:
x2 + 10x + 24 = 0
=> (x+6)(x+4) = 0
=> x = -6,-4
What are the solutions to the following polynomial equation:
x3 + 5x2 -14x = 0
=> x(x2+5x-14) = 0
=> x(x-2)(x+7) = 0
=> x =0, 2,-7
What are the solutions to the following polynomial equation:
x3 + x2 -25x-25 = 0
=> (x2-25)(x+1)
=> x= 5,-5-1
Write a polynomial of degree 2 in standard form with the following roots:
2, 1
(x-2)(x-1)
x2-3x+2
State the possible rational zeros for each function.
f(x) = 3x2 + 2x − 1
± 1, ± 1/3
What are the solutions to the following polynomial equation:
x2 -3x - 54 = 0
=> (x-9)(x+6) = 0
=> x = 9,-6
What are the solutions to the following polynomial equation:
2x3 -10x2 -12x = 0
=> 2x(x2-5x-6) = 0
=> 2x(x-6)(x+1) = 0
=> x =0, 6,-1
What are the solutions to the following polynomial equation:
x3 + 6x2 -x -6 = 0
=> (x2-1)(x+6)
=> x= 1,-1,-6
Write a polynomial of degree 3 in factored form with the following roots:
0.-2,5
x(x + 2)(x - 5)
State the possible rational zeros for each function.
f( x) = 5x3− 2x2 + 20x − 8
± 1, ± 2, ± 4, ± 8, ± 1/5 , ± 2/5 , ± 4/5 , ± 8/5
What are the solutions to the following polynomial equation:
x2 +2x - 63 = 0
=> (x+9)(x-7) = 0
=> x = -9,7
What are the solutions to the following polynomial equation:
3x3 -33x2 +30x = 0
=> 3x(x2-11x+10) = 0
=> 3x(x-1)(x-10) = 0
=> x =0, 1,10
What are the solutions to the following polynomial equation:
x3 + 5x2 -2x -10 = 0
=> (x2-2)(x+5)
=> x= sqrt2,-sqrt2,-5
Write a polynomial of degree 4 in factored form with the following roots:
0.-2,5(multiplicity 2)
x(x+2)(x-5)2
State the possible rational zeros for each function.
f(x) = 5x4 + 32x2 − 21
± 1, ± 3, ± 7, ± 21, ± 1/5 , ± 3/5 , ± 7/5 , ± 21/5
What are the solutions to the following polynomial equation:
2x2 +5x - 3 = 0
=> (2x-1)(x+3) = 0
=> x = 1/2, -3
What are the solutions to the following polynomial equation:
x4 -11x2 +30 = 0
=> (x2-6)(x2-5)=0
=> x2=6 x2=5
=> x =sqrt 6, -sqrt6, sqrt 5,-sqrt5
What are the solutions to the following polynomial equation:
2x3 -3x2 -4x +6 = 0
=> (x2-2)(2x-3)
=> x= sqrt2,-sqrt2,3/2
Write a polynomial of degree 4 in factored form with the following roots:
1,2,3,3,3
(x-1)(x-2)(x-3)3
State the possible rational zeros for each function.
f(x) = 2x4 − 9x2 + 7
± 1, ± 7, ± 1/2 , ± 7/2
What are the solutions to the following polynomial equation:
3x2 +8x +4 = 0
=> (3x+2)(x+2) = 0
=> x = -2/3, -2
What are the solutions to the following polynomial equation:
x4 -5x2 -36 = 0
=> (x2-9)(x2+4)=0
=> x2=9 x2=-4
=> x =3, -3, 2i,-2i
What are the solutions to the following polynomial equation:
x3 -5x2 +4x -20 = 0
=> (x2+4)(x-5)
=> x= 2i,-2i,5
Write a polynomial of degree 3 in expanded form with the following roots:
2,2,2,2,2,2, -1
(x-2)6(x+1)
State the possible rational zeros for each function.
f(x) = x3+ 4x3+ 5x + 2
± 1, ± 2