Question

Divide 2x^5+x^4-6x+9 by x-3 and verify division algorithm

Answer 1

Hope it helps.........

Answer 2

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★ Answer:-

☞ Remainder of the given polynomial= 558.

★ Step-by-step explanation:-

We have x-3 as the factor of the given polynomial.

Therefore,

x-3 = 0

=> x= 3.

Let p(x)= 2x^5 + x⁴ - 6x + 9.

Now, substituting the value of x in the p(x) and using remainder theorem, we get,

p(3) = 2(3)^5 + (3)⁴ - 6(3) + 9

= 2 × 243 + 81 - 18 + 9

☞ 558.

[The required remainder].

→ Verification by long division method is given in the attachment above. Check it out!.

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$<marquee>★Hope it helps★$