Question

Divide ( x⁴ - 5x² - 4x) by (x+3) and find the remainder.

Solution:

By remainder theorem,

Dividend Polynomial

P(x) = x⁴ - 5x² - 4x

Divisor = (x+3) so take x = (___)

P(x)= x⁴ - 5x² - 4x

P(-3)= (-3)⁴ - 5(-3)² - 4(___)

= 81 - 45+ (__)

P(-3)= (____)

Remainder= (___).​

Answer 1

Answer:

$\Huge{\underline{\underline{\mathbf{\color{plum}{Answer}}}}}$

Divide ( x⁴ - 5x² - 4x) by (x+3)

and find the remainder.

Solution:

By remainder theorem,

Dividend Polynomial

P(x) = x⁴ - 5x² - 4x

Divisor = (x+3) so take x = (-3)

P(x)= x⁴ - 5x² - 4x

P(-3)= (-3)⁴ - 5(-3)² - 4(-3)

= 81 - 45+ (12)

P(-3)= (48)