Simplify Polynomials Add Subtract Multiply Divide And Factor

How to simplify Rational Expression by factoring?

• Factor the numerator and denominator

• Note common factor

• Cancel common factor

• All of the above.

Which of the following is not included in simplifying rational expression.

• Factoring

• Add/Subtract

• Multiply/Divide

• Zero denominator

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

• 3x³-2x²+3x+2

• 3x³+x²+2

• 3x³-5x²-2

• 3x³-x²+1

Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)

• x³+2x²+5x-2

• x³+10x²+3x-2

• 3x³+2x+4x-3

• 3x³+10x²-3x-2

Multiply:
(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Divide using synthetic division
(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Use synthetic division

• 2x³ + 3x  (7/x-4)

• 2x² + 3x + 8 + (7/x-4)

• 2x² + 3x + 8

• 2x² - x + 10 + (6/x-4)

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO