Explanation

Jerome Bruner emphasized that teachers should adopt a perspective theory, which helps them understand how students learn and think, rather than just following rigid, descriptive theories.

This approach focuses on active learning, scaffolding, and discovery-based education, allowing teachers to adapt their methods based on students' needs.

Explanation

To find the roots of the quadratic equation x² - 7x - 9 = 0:

Use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = -7, and c = -9:

x = (7 ± √((-7)² - 4(1)(-9))) / 2(1)

= (7 ± √(49 + 36)) / 2

= (7 ± √85) / 2

The two roots are:

x₁ = (7 + √85) / 2

x₂ = (7 - √85) / 2

The positive difference between the roots is:

|x₁ - x₂| = |((7 + √85) / 2) - ((7 - √85) / 2)|

= |(7 + √85 - 7 + √85) / 2|

= |2√85 / 2|

= √85

Explanation

Explanation

Derived quantities are formed from base quantities through mathematical operations.

m² (square meter) is derived from the base unit meter (m) and represents area.

Explanation

The greatest 3-digit number is 999, and the smallest 3-digit number is 100.

Their product: 999 × 100 = 99900.

Explanation

A polynomial consists of terms with variables raised to whole number exponents (0, 1, 2, 3, etc.).

If an exponent is a fraction, negative, or irrational, the expression is not a polynomial.

Explanation

The tri-polar process of teaching involves a teacher delivering knowledge, a pupil receiving it, and the learning process facilitating understanding.

This model emphasizes interaction among these three elements to achieve effective education.

Explanation

Explanation

Essentialism focuses on core knowledge and skills, while Pragmatism emphasizes learning through experience and problem-solving.

Both philosophies value practical education, making Pragmatism a key influence in shaping Essentialism.

Explanation

To find the quotient, perform polynomial long division:

Divide 6n² + 5n + 12 by 2n + 3:

6n² + 5n + 12 | 2n + 3

First, divide 6n² by 2n:

3n

Multiply 2n + 3 by 3n:

6n² + 9n

Subtract this from the original polynomial:

-4n + 12

Now, divide -4n by 2n:

-2

Multiply 2n + 3 by -2:

-4n - 6

Subtract this from -4n + 12:

18

Since 18 is a constant and cannot be divided by 2n + 3, the remainder is 18.

The quotient is:

3n - 2