Using remainder theorem, find the remainder when:
f(x) = 8x² - 2x - 15 is divided by (2x + 3).

Question

Using remainder theorem, find the remainder when: f(x) = 8x^2 − 2x − 15 is divided by (2x + 3).

KnowledgeBoat · Accepted Answer

By remainder theorem, If f(x) is divided by (x - a), then remainder = f(a). f(x) = 8x2 - 2x - 15 Divisor : ⇒ 2x + 3 = 0 ⇒ 2x = -3 ⇒ x = - Substituting x = - in f(x), we get : Hence, remainder = 6.

Mathematics

Using remainder theorem, find the remainder when:
f(x) = 8x² - 2x - 15 is divided by (2x + 3).

Factorisation

Related Questions

Using remainder theorem, find the remainder when:
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f(x) = 9x² - 6x + 2 is divided by (3x - 2).

On dividing (ax³ + 9x² + 4x - 10) by (x + 3), we get 5 as remainder. Find the value of a.

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Mathematics

Using remainder theorem, find the remainder when:f(x) = 8x2 - 2x - 15 is divided by (2x + 3).

Factorisation

Related Questions

Using remainder theorem, find the remainder when:f(x) = 8x3 - 16x2 + 14x - 5 is divided by (2x - 1).

Using remainder theorem, find the remainder when:f(x) = 9x2 - 6x + 2 is divided by (3x - 2).

On dividing (ax3 + 9x2 + 4x - 10) by (x + 3), we get 5 as remainder. Find the value of a.

Using Remainder Theorem, find the value of k if on dividing 2x3 + 3x2 - kx + 5 by (x - 2), leaves a remainder 7.

Using remainder theorem, find the remainder when:
f(x) = 8x² - 2x - 15 is divided by (2x + 3).

Using remainder theorem, find the remainder when:
f(x) = 8x³ - 16x² + 14x - 5 is divided by (2x - 1).

Using remainder theorem, find the remainder when:
f(x) = 9x² - 6x + 2 is divided by (3x - 2).

On dividing (ax³ + 9x² + 4x - 10) by (x + 3), we get 5 as remainder. Find the value of a.

Using Remainder Theorem, find the value of k if on dividing 2x³ + 3x² - kx + 5 by (x - 2), leaves a remainder 7.