Explanation

A biquadratic polynomial has a degree of four, meaning the highest power of the variable (usually x) is four.

A biquadratic polynomial has the general form: ax⁴ + bx³ + cx² + dx + e, where a, b, c, d, and e are constants.

Explanation

Half of 58 is calculated as 58 ÷ 2 = 29.

Explanation

Modulo (mod) operation finds the remainder when 5 is divided by 3.

5 ÷ 3 = 1 remainder 2, so 5 mod 3 = 2.

Explanation

To factor the expression:

4a² - 16

First, factor out the greatest common factor (GCF), which is 4:

4(a² - 4)

Then, recognize the difference of squares pattern:

a² - 4 = (a - 2)(a + 2)

So, the factored form is:

4(a - 2)(a + 2)

Explanation

To simplify the expression:

ac + ad + bc + bd

Factor out the common terms:

a(c + d) + b(c + d)

Then, factor out the common binomial factor:

(a + b)(c + d)

Explanation

1 milligram (mg) = 10⁻⁶ kilograms (kg)

So, 20 milligrams equals:

20 mg = 20 × 10⁻⁶ kg

Which simplifies to:

2 × 10⁻⁵ kg

Explanation

The additive inverse of a number is the value that, when added to the original number, results in zero.

For 1/7, the additive inverse is:

-1/7

Since:

1/7 + (-1/7) = 0

Explanation

To find the Highest Common Factor (HCF), list the factors of each number:

135: 1, 3, 5, 9, 15, 27, 45, 135

540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

765: 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 765

The highest common factor among these numbers is: 45.

Explanation

Since the sum doubles itself in 15 years, it will quadruple (2 × 2) in 30 years (15 × 2), and become eight times (2 × 2 × 2) in 45 years (15 × 3).

Explanation

An expression consists of variables, constants, and operators.

Since 3x + 2y - 3 lacks an equality sign, it is an algebraic expression.