Question

this is a 9th class question please tell me ​

Answer 1

Answer:

(i) cubic

(ii) cubic

(iii) linear

(iv) quadratic

(v) constant

(vi) linear

(vii) cubic

(viii) quadratic

(ix) quadratic

(x) linear

Answer 2

$\large{\underline{\rm{\red{\bf{Solution:-}}}}}$

➺ $\sf 2-x^{2}+x^{3} \implies Cubic$

➺ $\sf 3x^{3} \implies Cubic$

➺ $\sf 5t-7 \implies Linear$

➺ $\sf 4-5y^{2} \implies Quadratic$

➺ $\sf 3 \implies Constant$

➺ $\sf 2+x \implies Linear$

➺ $\sf y^{3}-y \implies Cubic$

➺ $\sf 1+x+x^{2} \implies Quadratic$

➺ $\sf t^{2} \implies Quadratic$

➺ $\sf \sqrt{2} x-1 \implies Linear$

$\large{\underline{\rm{\red{\bf{Explanation:-}}}}}$

❖ The highest power is 3, hence the degree is 3. Therefore it's cubic.

❖ The highest power is 3, hence the degree is 3. Therefore it's cubic.

❖ The highest power is 1, hence the degree is 1. Therefore it's linear.

❖ The highest power is 2, hence the degree is 2. Therefore it's quadratic.

❖ This has a fixed value ie. 3. Therefore it's constant.

❖ The highest power is 1, hence the degree is 1. Therefore it's linear.

❖ The highest power is 3, hence the degree is 3. Therefore it's cubic.

❖ The highest power is 2, hence the degree is 2. Therefore it's quadratic.

❖ The highest power is 2, hence the degree is 2. Therefore it's quadratic.

❖ The highest power is 1, hence the degree is 1. Therefore it's linear.

$\large{\underline{\rm{\red{\bf{To \: Note:-}}}}}$

✔ What is a constant?

A constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. Eg. 4 is a constant variable.

✔ What is a quadratic expression?

A quadratic expression is an expression whose power or degree is two. Eg. x² + 1

✔ What is a cubic expression?

A cubic expression is an expression whose power or degree is three. Eg. x³ + 1

✔ What is a linear expression?

A linear expression is an expression who has the highest power of each variable as one. Eg. y = 2x + 1