Polynomials

What is the leading coefficient of the following polynomial?

Mathematical Equivalence

ON

What is the leading coefficient of the following polynomial?

Mathematical Equivalence

ON

Which is the product of (3x − 5) and (3x + 5) ?

• 9x² - 25

• 9x² - 30x - 25

• 9x - 10

• 9x² + 25

What is 24x³ - 16x² + 20x divided by 4x?

• 6x² - 4x + 5

• 6x² + 4x - 5

• 6x³ - 4x - 5

• 6x³ + 4x - 5

Factor out the GCF from the terms of the polynomial -2x⁵ - 6x³ - 16x² .

• -2x(x⁴ + 3x² + 8x)

• -2x²(x³ + 3x + 8)

• -2x²(-x³ - 3x - 8)

• The polynomial is already fully factored.

Complete the expressions to write the factored form of y² + 11y + 28.

(y + ​ (a)   )(y + ​ (b)   )

• 7

• 4

• 2

• 14

What is the factored form of x² + 4xy − 21y² ?

• xy(x + 4 − 21y)

• (x − 3y)(x + 7y)

• x(x + 4y) + y(4x − 21y)

• (x + 3y)(x − 7y)

What is the factored form of 4x² − 10x − 6 ?

• (x + 1)(4x + 1)

• (x + 2)(2x + 5)

• 2(x − 3)(2x + 1)

• 4(x − 3)(x + 2)

Factor the expression 2x⁴y − 18x²y³ completely.

• 2x²y(x² − 9y²)

• 2x²y(x − 3y)(x + 3y)

• 2x²y(x − 3y)²

• 2x²y(x − 9y)(x + 2y)

What is (7x² - 4) + (6x³ - 4x - 4x⁴), written in standard form?