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Classify the following as linear, quadratic and cubic polynomials: x – x³

Answer: Cubic polynomial A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s... View Article

Classify the following as linear, quadratic and cubic polynomials: x² + x

Answer: Quadratic polynomial A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s... View Article

Classify the following as linear, quadratic and cubic polynomials: y + y² + 4

Answer: Quadratic polynomial A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s... View Article

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories? x + y, 1000, x + x² + x³ + x⁴ , 7 + y + 5x, 2y – 3y² , 2y – 3y² + 4y³ , 5x – 4y + 3xy, 4z – 15z2 , ab + bc + cd + da, pqr, p²q + pq² , 2p + 2q.

Answer: Polynomials are algebraic expressions that consist of variables and coefficients. Polynomials are of 3 different types and are... View Article

Cleaning of water is a process of removing ____________.

Answer: Cleaning of water is a process of removing pollutants. The process of removing pollutants from water before it enters any water... View Article

Consider the list of terms given below (i) Tsunami (ii) Landslide (iii) Floods (iv) Lightning Earthquakes can cause (a) (i), (ii) & (iii) (b) (ii) & (iv) (c) (ii), (iii) & (iv) (d) (iii) & (iv)

Answer: (a) (i), (ii) & (iii) An earthquake is a sudden shaking or trembling of the earth caused by the collision of the earth's plates or... View Article

Consider the list of terms given below: (i) Seismic Zone (ii) Fault Zone (iii) Mantle (iv) Inner Core The boundaries of the earth’s plate are known as (a) (i) & (ii) (b) (i) & (iii) (c) (iii) & (iv) (d) (ii), (iii) & (iv)

Answer: (a) (i) & (ii) An earthquake is a quick trembling or shaking of the earth that lasts only for a short period. Movement of plates are... View Article

Describe an activity to show that thermoplastic is a poor conductor of electricity

Answer: All the plastic materials can be softened and melted by heating, but they set again when cool is called thermoplastics. When heated,... View Article

Describe how crystals of copper sulphate are prepared.

Answer: Crystals of copper sulphate are prepared using the crystallization method, which is described as follows Take a cupful of water in a... View Article

Describe the process of neutralisation with the help of an example.

Answer: An acid-base reaction in which an acid combines with a base to produce salt and water is known as a neutralisation reaction. The pH of... View Article

Describe with the help of a diagram an instrument which can be used to detect a charged body.

Answer: An electroscope is a scientific device that is used to detect the presence of an electric charge on a body. In the year 1600, British... View Article

Determine which of the polynomial has (x + 1) a factor: x³ – x² – (2+√2)x +√2

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Determine which of the polynomial has (x + 1) a factor: x^{3^{+ x² + x + 1}}

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Determine which of the polynomial has (x + 1) a factor: x⁴ + 3x³ + 3x² + x + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Determine which of the polynomial has (x + 1) a factor: x⁴ + x³ + x² + x + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Divide as directed: 20(y + 4) (y² + 5y + 3) ÷ 5(y + 4)

Answer: 4(y2 + 5y + 3) The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to... View Article

Divide as directed: 26xy(x + 5)(y – 4) ÷ 13x(y – 4)

Answer: 2y(x + 5) The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate... View Article

Divide as directed: 5(2x + 1)(3x + 5) ÷ (2x + 1)

Answer: 5(3x + 5) The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate... View Article

Divide as directed: 52pqr(p + q)(q + r)(r + p) ÷ 104pq(q + r)(r + p)

Answer: 1/2 r(p + q) The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to... View Article

Divide as directed: x(x + 1) (x + 2)(x + 3) ÷ x(x + 1)

Answer: (x + 2)(x + 3) The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to... View Article

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