BRAINQUEST 8

Write the polynomial in standard form. 2x - 3x² + 6 + 5x³

• 3x² + 2x + 5x³ + 6

• 5x³  + 3x² + 2x + 6

• 5x³  + 2x + 3x² + 6

• 10x⁶ + 6

Add the polynomials (x-2) and (x²+3).

Write your answer in standard form. 

• x² + x + 1

• x³ + 5

• x³ + 1

• x³ - 1

Simplify. Write your answer in standard form. 

(x³-x²+4)-(3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Simplify. Write your answer in standard form. 

(2x²-4y+7xy-6y²) - (-3x²+5y-4xy+y²)

• -5x² + 9y - 11xy + 7y²

• -x² + y + 3xy - 5y²

• -x² - 9y + 11xy - 7y²

• 5x² - 9y + 11xy - 7y²

Classify by degree of polynomial: 2x – 9

• constant

• linear

• quadratic

• cubic

Multiply (p − 8)²

• p ² − 16p − 64

• p ² + 16p + 64 

• p ² − 16p − 8

• p ² − 16p + 64 

(3x – 1)(x + 5) 

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Determine if the polynomial is a perfect square and if it is factor the polynomial? x² - 12x + 36

• Is not a perfect square

• Is a perfect square;(x + 6)²

• Is a perfect square;(x - 12)²

• Is a perfect square;(x - 6)²

Determine if the polynomial is a difference of squares and if it is factor the polynomial. w² - 4

• Is not a difference of squares

• Is a difference of squares; (w - 2)²

• Is a difference of squares; (w + 2)²

• Is a difference of squares;(w + 2)(w - 2)

Factor out the GCF. 

4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)