Question

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Here's a brainly challenge for you ✌⭐✨

❕❗using factor theorem, show that (x-4) is a factor of (2x^3-x^2-26x-40) and hence factorise the given equation ❕❗


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Answer 1

Q.1. Show that (x – 1) is a factor of x3 – 7x2 + 14x – 8. Hence, factorize the above polynomial completely.

Solution : –

If (x – 1) is a factor of f(x) = x3 – 7x2 + 14x – 8, then f(1) = 0.

Now, f(1) = 13 – 7(1)2 + 14(1) – 8 = 1 – 7 + 14 – 8 = 0.

Hence, (x – 1) is a factor of f(x).

To find other factor, f(x) = x3 – 7x2 + 14x – 8 = x2(x – 1) – 6(x – 1) + 8(x – 1)

=(x – 1) (x2 – 6x +8) = (x – 1){x(x – 4) – 2(x – 4)}

= (x – 1)(x – 2)(x – 4).[Ans.]

using this example u can solve ur equation....

hope it's helpful...

: )

and by the way...

hi swager.......

Answer 2

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