Factoring Quartic Trinomial
factor the expression completely:
-18x+x5+3x3
x(x2-3)(x2+6)
Rewrite the expression as a product of four linear factors:
(x2+3x)2-22(x2+3x)+72
(x+6)(x-3)(x+4)(x-1)
Find the result when 3x3-4x2-4x-7 is divided by 3x-7.
x2+x+1
If f(x)=x2-x+3, then what is the remainder when f(x) is divided by x+9?
93
If f(x)=x3+17x2+62x-80, which of the following is not a factor of f(x)?
(x-1)
(x-10)
(x+10)
(x+8)
(x-10)
factor the expression completely:
-2x2-x4+35
-(x2-5)(x2+7)
Rewrite the expression as a product of four linear factors:
(x2−9x)2−2(x2−9x)−80
(x+1)(x-10)(x-1)(x-8)
Find the result when 8x^3-14x^2+27x-6 is divided by 4x-1.
2x2−3x+6
If f(x)=5x6-2x2-5, then what is the remainder when f(x) is divided by x+2?
307
If f(x)=x^3-4x^2-25x+28, which of the following is not a factor of f(x)?
(x+6)
(x+4)
(x-7)
(x-1)
(x+6)
factor the expression completely:
-2x+x3+x5
x(x+1)(x-1)(x2+2)
Rewrite the expression as a product of four linear factors:
(x2+8x)2+19(x2+8x)+84
(x+6)(x+2)(x+7)(x+1)
Find the result when 16x4+12x3+16x2+9x+29 is divided by 4x2+7x+6
4x2−4x+5+ (-2x-1/4x2+7x+6)
Given f(x)=3x3-10x+k, and x+ is a factor of f(x) , then what is the value of k?
k = 4
If f(x)=x^3+3x^2-25x+21f(x)=x3+3x2−25x+21, which of the following is not a factor of f(x)f(x)?
(x-3)
(x+8)
(x+7)
(x-1)
(x+8)
factor the expression completely:
-8x3+7x+x5
x(x+1)(x-1)(x2-7)
Rewrite the expression as a product of four linear factors:
(x2+10x)2-2(x2+10x)-99
(x+9)(x+1)(x+11)(x-1)
Find the result when 4x4-15x3+2x2-3x-10 is divided by 4x2-3x+5.
x2−3x−3+ (3x+5/4x2-3x+5)
Given f(x)=2x3-9x+k, and x-1 is a factor of f(x), then what is the value of k?
k = 7
If f(x)=x^3+15x^2+54x+40, which of the following is not a factor of f(x)?
(x+4)
(x+10)
(x+1)
(x-9)
(x-9)
factor the expression completely:
-x4-20+9x 2
-(x+2)(x-2)(x2-5)
Rewrite the expression as a product of four linear factors:
(x2+5x)2−2(x2+5x)−24
(x+6)(x-1)(x+4)(x+1)
Find the result when 9x4-18x3+14x2-29x-19 is divided by 3x2-x+7.
3x2−5x−4+ (2x+9/3x2-x+7)
Given f(x)=2x3+kx+19, and the remainder when f(x) is divided by x-1 is 14, then what is the value of k?
k = -7
If f(x)=x3+14x2+61x+84, which of the following is not a factor of f(x)?
(x+4)
(x-4)
(x+3)
(x+7)
(x-4)