What number must be added to 2x3 - 3x2 - 8x so that resulting polynomial leaves the remainder 10 when divided by 2x + 1?

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 2x + 1 = 0 ⇒ 2x = -1 ⇒ x = Let number added be a. Polynomial = 2x3 - 3x2 - 8x + a By remainder theorem, When a polynomial p(x) is divided by (x - a), then the remainder = f(a). Hence, the number to be added = 7.

Mathematics

What number must be added to 2x³ - 3x² - 8x so that resulting polynomial leaves the remainder 10 when divided by 2x + 1?

Factorisation

Related Questions

Using remainder theorem, find the value of a if the division of x³ + 5x² - ax + 6 by (x - 1) leaves the remainder 2a.

What number must be subtracted from 2x² - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

When divided by x - 3 the polynomials x³ - px² + x + 6 and 2x³ - x² - (p + 3)x - 6 leave the same remainder . Find the value of 'p'.

Find 'a' if the two polynomials ax³ + 3x² - 9 and 2x³ + 4x + a, leaves the same remainder when divided by x + 3.

Mathematics

What number must be added to 2x3 - 3x2 - 8x so that resulting polynomial leaves the remainder 10 when divided by 2x + 1?

Factorisation

Related Questions

Using remainder theorem, find the value of a if the division of x3 + 5x2 - ax + 6 by (x - 1) leaves the remainder 2a.

What number must be subtracted from 2x2 - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

When divided by x - 3 the polynomials x3 - px2 + x + 6 and 2x3 - x2 - (p + 3)x - 6 leave the same remainder . Find the value of 'p'.

Find 'a' if the two polynomials ax3 + 3x2 - 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.

What number must be added to 2x³ - 3x² - 8x so that resulting polynomial leaves the remainder 10 when divided by 2x + 1?

Using remainder theorem, find the value of a if the division of x³ + 5x² - ax + 6 by (x - 1) leaves the remainder 2a.

What number must be subtracted from 2x² - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

When divided by x - 3 the polynomials x³ - px² + x + 6 and 2x³ - x² - (p + 3)x - 6 leave the same remainder . Find the value of 'p'.

Find 'a' if the two polynomials ax³ + 3x² - 9 and 2x³ + 4x + a, leaves the same remainder when divided by x + 3.