Math, asked by Aryankhandelwal, 1 year ago

Answer this without doing divide please solve this fast please

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Answered by siddhartharao77

Given Equation is f(x) = 2x^3 + 2ax^2 - 5x + a.

By the remainder theorem, When f(x) is divided by x + a, the remainder is f(-a).

f(-a) = 2(-a)^3 + 2a(-a)^2 - 5(-a) + a

= -2a^3 + 2a^3 + 5a + a

= 6a.

Hope this helps!

siddhartharao77: (-1)^2 = 1^2.

siddhartharao77: Kindly ask ur doubts clearly. I will answer

Aryankhandelwal: But how you solve like this that (-1)^2=1^2

Aryankhandelwal: how negative change into positive

siddhartharao77: (-2)^2 = -2 * -2 = +4. Likewise. (-a)^2 = -a * -a = +a^2

Aryankhandelwal: explain me please I request you please

siddhartharao77: - * - = +.

Aryankhandelwal: thank you this

Aryankhandelwal: I understand this very well thanks again

siddhartharao77: :-)

Answered by Panzer786

Hii friend,

(X+a) is the factor of the given polynomial.

X+a = 0

X = -a

P(X) = 2X³+2aX²-5X+a

P(-a) = 2× (-a)³ + 2a × (-a)²- 5 × (-a) + a

= -2 × (-a)³ +2a× a² +5a + a

= +2a³-2a³+5a+a

= 5a + a = 6a

HENCE,

REMINDER = 6a

HOPE IT WILL HELP YOU..... :-)

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