Trig/College Alg Quiz 1.4-1.5 Review

Polynomials

1

Classify the polynomial by degree and number of terms.

-4³+2

Cubic binomial

2

Simplify:

(7x²-5x³+10x-12)+(6x³-10x²+x-3)

x³-3x²+11x-15

3

(3x-9)²

9x²-54x+81

4

(2x+7y-4)(2x-8)

4x²+14xy-24x-56y+32

5

(2x-4)³

8x³-48x²+96x-64

Polynomials

1

Classify the polynomial by degree and number of terms.

5x²+6x-7

Quadratic trinomial

2

Simplify:

(-6x⁴+3x-7)-(-8x⁴-5x+7)

2x⁴+8x-14

3

(5x+7)(3x-4)

15x²+x-28

4

(2x-9)(3x²+4x-5)

6x³-19x²-46x+45

5

(3x+6)³

27x³+162x²+324x+216

Factoring

1

90x⁵y⁷+18x³y⁵-54xy⁶

18xy⁵(5x⁴y²+x²-3y)

2

8-27m³

(2-3m)(4+6m+9m²)

3

p²+9p+20

(p+5)(p+4)

4

4v²-4v-15

(2v+3)(2v-5)

5

35r³+335r²+180r

5r(7r+4)(r+9)

Factoring

1

27a³b³-9a²b⁴-9ab

9ab(3a²b²-ab³-1)

2

48b²-3

3(4b+1)(4b-1)

3

35n³+20n²-21n-12

(5n²-3)(7n+4)

4

n²+10n+25

(n+5)²

5

7n²+31n+12

(7n+3)(n+4)

Factoring

1

25x²-y²

(5x+y)(5x-y)

2

4x³+32

4(x+2)(x²-2x+4)

3

42v³+30v²+7v+5

(6v²+1)(7v+5)

4

2x²+18x+36

2(x+3)(x+6)

5

10n²+69n+54

(n+6)(10n+9)