SOLVING POLYNOMIAL EQUATIONS

How many root/s does the polynomial equation have?

x⁴-3x²+10=0

• 1

• 2

• 3

• 4

How many solution/s does the polynomial equation have?

5x³-10x²+8x+1=0

• 1

• 2

• 3

• 4

Write a polynomial equation of least degree that has a leading coefficient of 1 and zeros at 1, 4, and -2.

• (x-1)(x-4)(x+2)=0

• (x+1)(x+4)(x-2)=0

• x³+3x²+6x+8=0

• x³-3x²-6x+8=0

Which of the following is a COMPLETE list of all possible roots?
 $x^3+5x^2-9x+5=0$  

• 1 and 5

• -1 and -5

• 1, -1, 5, and -5

• 1, -1, 5, -5, 1/5, and -1/5

Is (x+5) a factor of x³+2x²-x+4=0?

• YES

• NO

Solve: x²+7x+6=0

• {-6, -1}

• {2, -3}

• {6, 1}

• {-2, 3}

State the leading term of the polynomial, 6x⁵+9x⁴+2x³+3x²-4x-6=0.

• 6

• x⁵

• 6x⁵

• 9x⁴

Solve the equation. x⁴+4x³+3x²=0

• {0, 3, 1}

• {3, 1}

• {-3, -1}

• {0, -3, -1}

Below are four possible zeros for this polynomial.

x³+2x²-11x-12=0

Figure out which one works.

• -3

• -4

• 1

• 6

Solve for the value of x:

(2x+5)(5x-2)=0

• {5/2, -2/5}

• {-5/2, -2/5}

• {-5/2, 2/5}

• {5/2, 2/5}