algebra 1

Which statement is true about the polynomial - 3x ^ 4 * y ^ 3 + 8x * y ^ 5 - 3 + 18x ^ 3 * y ^ 4 - 3x * y ^ 5 after it has been fully simplified? has 3 terms and a degree of 5 has 3 terms and a degree of 7. It has 4 terms and a degree of 5 It has 4 terms and a degree of 7

It has 4 terms and a degree of 7.

Which product is equivalent to 25x ^ 2 - 16; (5x - 4)(5x + 4); (5x + 8)(5x - 8); (5x - 4)(5x - 4); (5x - 8)(5x - 8)

(5x-4)(5x+4)

What is the factorization of 49b ^ 2 - 81 ? (7b - 9)(7b - 9); (7b - 9)(7b + 9); (7b ^ 2 - 9)(7b ^ 2 - 9); (7b ^ 2 - 9)(7b ^ 2 + 9)

(7b-9)(7b+9)

Which expression is equivalent to 64 - 9x ^ 2 ? (32) ^ 2 - (3x) ^ 2; (32) ^ 2 + (- 3x) ^ 2; (8) ^ 2 - (3x) ^ 2; (8) ^ 2 + (- 3x) ^ 2

(8)^2-(3x)^2

What is the greatest common factor of the terms in the polynomial 3x ^ 3 - 3x ^ 2 - 18x ? 3x 3x ^ 2; 3x ^ 3

3x

What is the factorization of 81a ^ 6 - 100; (9a ^ 2 - 10)(9a ^ 3 + 10); (9a ^ 2 - 10)(9a ^ 3 - 10); (9a ^ 3 - 10)(9a ^ 3 + 10); (9a ^ 3 - 10)(9a ^ 3 - 10)

(9a3-10)(9a3+10)

The trinomial x ^ 2 - 3x - 4 is represented by the model What are the factors of the trinomial ? (x + 1) and (x - 4); (x + 4) and (x - 1); (x + 5) and (x - 4); (x + 4) and (x - 5); x ^ 2 X

(x+1) and (x-4)

What is the factored form of x ^ 2 - 4x - 5 ? (x + 5)(x - 1); (x + 5)(x + 1); (x - 5)(x - 1); (x - 5)(x + 1)

(x-5)(x+1)

Which product will result in a sum or difference of cubes? (x + 7)(x ^ 2 - 7x + 14); (x + 8)(x ^ 2 + 8x + 64); (x - 9)(x ^ 2 + 9x + 81); (x - 10)(x ^ 2 - 10x + 100)

(x-9)(x2+9x+81)

Which expression is equivalent to 100n ^ 2 - 1 ? (10n) ^ 2 - (1) ^ 2; (10n ^ 2) ^ 2 - (1) ^ 2; (50n) ^ 2 - (1) ^ 2; (50n ^ 2) ^ 2 - (1) ^ 2

(10n)^2-(1)^2

Which is a factor of 144 - 49x ^ 2 ? 12 - 7x ^ 2; 72 - 7x ^ 2; 12 - 7x; 72 + 7x

12-7x

Which polynomial can be simplified to a difference of squares? 19a ^ 2 + 3a - 3a - 16; 16a ^ 2 - 4a + 4a - 1; 25a ^ 2 + 6a - 6a + 36; 24a ^ 2 - 9a + 9a + 4

16a2-4a+4a-1

Simon is factoring the polynomial What value should Simon write on the line? x ^ 2 - 4x - 12 -6 (x-6)(x+\ )

2

Which is the completely factored form of 4x ^ 3 + 10x ^ 2 - 6x ? 2(x + 3) * (2x - 1); 2x * (x + 3) * (2x - 1); 2x * (x - 3) * (2x - 1); 2(x - 3) * (2x + 1)

2x(x+3)(2x-1)

Antonia is factoring the polynomial , which has fourWhich is the completely factored form of her polynomial? terms. 21x ^ 3 - 63x ^ 2 + 15x - 45; 3[7x ^ 3 - 21x ^ 2 + 5x - 15]; 3[7x^ prime (x-3)+5(x-3)]; 21x ^ 2 * (x - 3); 36x ^ 2 * (x - 3); 3(7x ^ 2 + 5) * (x - 3); 3(12x ^ 2 + 5) * (x - 3)

3(7x2+5)(x-3)

Which product of prime polynomials is equivalent to 36x ^ 3 - 15x ^ 2 - 6x ? x(3x - 2) * (4x + 1); 3x * (3x - 2) * (4x + 1); 3(x ^ 2 + 1) * (4x - 1); 3(x ^ 2 + 1) * (4x + 1)

3x(3x-2)(4x+1)

Which value is needed in the expression below to create a perfect square trinomial? x^ 2 +8x+\ 16 64

4

What is the square root of 16x ^ 36; 4x ^ 6; 4x ^ 18; 8x ^ 6; 8x ^ 18

4x18

What is the greatest common factor of the terms in the polynomial 4x ^ 4 - 32x ^ 3 - 60x ^ 2; 4x ^ 2; 4x ^ 3

4x2

Which expression is a difference of squares with a factor of 2x + 5; 4x ^ 2 + 10; 4x ^ 2 - 10; 4x ^ 2 + 25; 4x ^ 2 - 25

4x2-25

What is the polynomial 3y ^ 2 + (y + 7) ^ 2 - 15 after it has been fully simplified and written in standard form? 4y ^ 2 + 34; 3y ^ 2 + y + 34; 4y ^ 2 + 14y + 34; 4y ^ 4 + 34

4y2+14y+34

Juanita begins to factor an expression as shown What numbers should be placed in the boxes from left to right? x^ 2 +3x-18=(x+5)(x- Box) and 6 and 9 6 and 3 9 and 2

6 and 3

Which expression is equivalent to root(3, 343x ^ 3 * y ^ 12 * z ^ 6) ? 7x ^ 3 * y ^ 4 * z ^ 2; 7x ^ 3 * y ^ 6 * z ^ 2; 49x ^ 3 * y ^ 6 * z ^ 2; 49x ^ 3 * y ^ 4 * z ^ 2

7x3y4z2

Which term is a perfect square of the root 3x ^ 4 ? 6x ^ 8; 6x ^ 16; 9x ^ 8; 9x ^ 16

9x^8

Tomas factored the polynomial completely. What is true about his final product? 3x ^ 4 - 18x ^ 3 + 9x ^ 2 - 54x; Ax * (x ^ 2 + B) * (x + C) A and B are both 6. and B are both 3. and C are both positive . B and C are both negative .

A and B are both 3

Four students are verifying that x ^ 2 + x - 12 = (x - 3)(x + 4) . Their conclusions are presented in the table. DamienLauryn Rico Latisha 3(- 4) = - 12 , so the factors are correct - 4 + 3 = - 1 so the factors are correct - 4(3) = - 12 and - 4 + 3 = - 1 , so the factors are correct 4(- 3) = - 12 and - 3 + 4 = 1 so the factors are correct Which student correctly verified that x ^ 2 + x - 12 = (x - 3)(x + 4) ? Damien Lauryn Rico Latisha

Latisha

Omar noticed that he does not have a common factor Which accurately describes what Omar should do next? Omar should realize that his work shows that the polynomial is prime. Omar should go back and regroup the terms in Step 1as * (3x ^ 3 - 15x ^ 2) - (4x + 20) Step 2Omar should factor only out of the first expression Omar should factor out a negative from one of the groups so the binomials will be the same.

Omar should factor out a negative from one of the groups so the binomials will be the same.

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options . -5x^ 2 y^ 4 +9x^ 3 y^ 3 +\; - 4x ^ 4 * y ^ 5; 6x ^ 4 * y; - x * y ^ 5; (x ^ 4)/9

a,d,f

Which is a sum of cubes? a ^ 3 + 18; a ^ 6 + 9; a ^ 9 + 16; a ^ 12 + 8

a12+8

Which model shows the correct factorization of x ^ 2 + 2x - 8 ? +2 x ^ 2 E 11

d

Which function in vertex form is equivalent to f(x) = x ^ 2 + 6x + 3 ? f(x) = (x + 3) ^ 2 + 3; f(x) = (x + 3) ^ 2 - 6; f(x) = (x + 6) ^ 2 + 3; f(x) = (x + 6) ^ 2 - 6

f(x)=(x+3)2+3

Which values for h and k are used to write the function f(x) = x ^ 2 + 12x + 6 in vertex form? h = 6k = 36; h = - 6 , K = - 36 , h = 6k = 30 , h = - 6; k = - 30

h=-6, k=-30

What is the square root of ? m ^ 6; m ^ 2; m ^ 3; m ^ 4; m ^ 5

m^3

x - 9 is a factor of x ^ 2 - 5x - 36 , what is the other factor? x - 4; x + 4; x - 6; x + 6

x+4

Which polynomial is prime ? x ^ 2 - 36; x ^ 2 + 16; x ^ 2 - 7x + 12; x ^ 2 - x - 20

x2+16

The area of a square can be represented by the expression Which monomial represents a side of the square? x ^ 10; x ^ 2; x ^ 5; x ^ 20; x ^ 100

x5