Polynomials and Exponents For PA 7th Grade Students

Simplify the expression: (3x^2 + 2x - 5) + (2x^2 - 3x + 1)

• 5x^2 - x - 4

• 5x^2 + 5x - 4

• x^2 - x - 6

• 5x^4 - x - 4

Subtract the polynomial (x^3 - 2x^2 + x - 1) from (3x^3 + x^2 - 4x + 2).

• 2x^3 - 3x^2 + 5x - 3

• 2x^3 + 3x^2 - 3x + 3

• 4x^3 - x^2 - 3x + 1

• 4x^3 + 3x^2 - 5x + 3

Multiply the polynomials: (x + 3) * (x^2 - x + 4).

• x^3 + 3x^2 + x + 12

• x^3 + 2x^2 + 11x + 12

• x^3 + 2x^2 + x + 12

• x^3 - x^2 + 13x + 12

Divide the polynomial x^3 - 6x^2 + 11x - 6 by x - 2.

• x^2 - 4x + 2

• x^2 - 4x + 3

• x^2 - 8x + 16

• x^2 - 8x + 15

Simplify the expression using the laws of exponents: (x^4)^3 * x^2.

• x^14

• x^12

• x^10

• x^6

Simplify the expression: (2x^3y^2)^2 * (3xy^3)^3.

• 108x^9y^11

• 18x^6y^5

• 108x^12y^13

• 18x^5y^6

Apply the laws of exponents to simplify: (a^4b^3)/(a^2b^5).

• a^2/b^2

• a^6/b^8

• a^2b^8

• ab^2

Simplify the expression with exponents: (3x^2y^3)^0.

• 0

• 1

• 3

• 3x^2y^3

If (2x^3 - 5x^2 + x - 7) - (x^3 - 2x^2 - 3x + 4) = ax^3 + bx^2 + cx + d, find the values of a, b, c, and d.

• a=1, b=-3, c=4, d=-11

• a=1, b=-7, c=2, d=-3

• a=3, b=-3, c=4, d=-11

• a=1, b=-3, c=2, d=-11

What is the result of multiplying the polynomials (3x - 2) and (x^2 + x + 1)?

• 3x^3 - 2x^2 + 3x - 2

• 3x^3 + x^2 - x - 2

• 3x^3 + x^2 + x - 2

• 3x^3 + 3x^2 - x - 2