Write the coefficient of in each of the given polynomial.

i. m³

ii.

iii.

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to this number, the sum is equal to the number obtained by interchanging the digits. Find the number.

Write five solutions of the equation x + y = 7.

If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 8 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.

The ratio of incomes of two persons is 9 : 7. The ratio of their expenses is 4 : 3. Every person saves rupees 200, find the income of each.

Multiply the following polynomials.

(5m³ – 2) (m² –m +3)

Write the correct alternative answer for each of the following questions.

Multiply (x² -3) × (2x – 7x³ + 4) and write the degree of the product.

Write the correct alternative answer for each of the following questions.

Which of the following is a linear polynomial?

Write the degree of the polynomial for each of the following.

i. 5 + 3x⁴

ii. 7

iii. ax⁷ + bx⁹ (a, b are constants)

Subtract the second polynomial from the first.

5x² – 2y + 9; 3x² + 5y - 7

Write the following polynomials in standard form.

i. 4x² + 7x⁴ - x³ – x - 9

ii. p + 2p³ + 10p² + 5p⁴ – 8