Math Quiz Review

Factoring Quartic Trinomial

Trinomial Factoring Using Structure

Polynomial Long Division

Remainder Theorem

Factor Theorem

100

factor the expression completely:

-18x+x⁵+3x³

x(x²-3)(x²+6)

100

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)

100

Find the result when 3x³-4x²-4x-7 is divided by 3x-7.

x²+x+1

100

If f(x)=x²-x+3, then what is the remainder when f(x) is divided by x+9?

100

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)

200

factor the expression completely:

-2x²-x⁴+35

-(x²-5)(x²+7)

200

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)

200

Find the result when 8x^3-14x^2+27x-6 is divided by 4x-1.

2x²−3x+6

200

If f(x)=5x⁶-2x²-5, then what is the remainder when f(x) is divided by x+2?

307

200

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)

300

factor the expression completely:

-2x+x³+x⁵

x(x+1)(x-1)(x²+2)

300

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)

300

Find the result when 16x⁴+12x³+16x²+9x+29 is divided by 4x²+7x+6

4x²−4x+5+ (-2x-1/4x²+7x+6)

300

Given f(x)=3x³-10x+k, and x+ is a factor of f(x) , then what is the value of k?

k = 4

300

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)

400

factor the expression completely:

-8x³+7x+x⁵

x(x+1)(x-1)(x²-7)

400

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)

400

Find the result when 4x⁴-15x³+2x²-3x-10 is divided by 4x²-3x+5.

x²−3x−3+ (3x+5/4x²-3x+5)

400

Given f(x)=2x³-9x+k, and x-1 is a factor of f(x), then what is the value of k?

k = 7

400

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)

500

factor the expression completely:

-x⁴-20+9x²

-(x+2)(x-2)(x²-5)

500

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)

500

Find the result when 9x⁴-18x³+14x²-29x-19 is divided by 3x²-x+7.

3x²−5x−4+ (2x+9/3x²-x+7)

500

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

500

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)