Find the quotient and the remainder (if any), when: a^3 - 5a^2 + 8a + 15 is divided by a + 1.

Dividing a 3 - 5a 2 + 8a + 15 by a + 1 Quotient = a 2 - 6a + 14 Remainder = 1 Verification: Quotient x Divisor + Remainder = (a 2 \- 6a \+ 14) (a \+ 1) \+ 1 = a (a 2 \- 6a \+ 14) \+ 1 (a 2 \- 6a \+ 14) \+ 1 = a (1+2) \- 6a (1+1) + 14a \+ a 2 \- 6a \+ 14 \+ 1 = a 3 \- 6a 2 \+ 14a \+ a 2 \- 6a \+ 14 \+ 1 = a 3 \+ (\- 6a 2 \+ a 2 ) \+ (14a \- 6a) \+ (14 \+ 1) = a 3 \- 5a 2 \+ 8a \+ 15 = Dividend

Divide:
4a² + 12ab + 9b² - 25c² by 2a + 3b + 5c

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Divide:
16 + 8x + x⁶ - 8x³ - 2x⁴ + x² by x + 4 - x³

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Find the quotient and the remainder (if any), when:
3x⁴ + 6x³ - 6x² + 2x - 7 is divided by x - 3.

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Find the quotient and the remainder (if any), when:
6x² + x - 15 is divided by 3x + 5.

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Mathematics

Find the quotient and the remainder (if any), when:
a³ - 5a² + 8a + 15 is divided by a + 1.

Algebraic Expressions

Related Questions

Divide:
4a² + 12ab + 9b² - 25c² by 2a + 3b + 5c

Divide:
16 + 8x + x⁶ - 8x³ - 2x⁴ + x² by x + 4 - x³

Find the quotient and the remainder (if any), when:
3x⁴ + 6x³ - 6x² + 2x - 7 is divided by x - 3.

Find the quotient and the remainder (if any), when:
6x² + x - 15 is divided by 3x + 5.

Mathematics

Find the quotient and the remainder (if any), when:a3 - 5a2 + 8a + 15 is divided by a + 1.

Algebraic Expressions

Related Questions

Divide:4a2 + 12ab + 9b2 - 25c2 by 2a + 3b + 5c

Divide:16 + 8x + x6 - 8x3 - 2x4 + x2 by x + 4 - x3

Find the quotient and the remainder (if any), when:3x4 + 6x3 - 6x2 + 2x - 7 is divided by x - 3.

Find the quotient and the remainder (if any), when:6x2 + x - 15 is divided by 3x + 5.

Find the quotient and the remainder (if any), when:
a³ - 5a² + 8a + 15 is divided by a + 1.

Divide:
4a² + 12ab + 9b² - 25c² by 2a + 3b + 5c

Divide:
16 + 8x + x⁶ - 8x³ - 2x⁴ + x² by x + 4 - x³

Find the quotient and the remainder (if any), when:
3x⁴ + 6x³ - 6x² + 2x - 7 is divided by x - 3.

Find the quotient and the remainder (if any), when:
6x² + x - 15 is divided by 3x + 5.