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3 years ago

Expand the expression 8(x-2)

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Answer:

8x - 16

Step-by-step explanation:

8(x−2)

=(8)(x+−2)

=(8)(x)+(8)(−2)

=8x−16

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Answer:

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Step-by-step explanation:

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3 years ago

2x^3-x^2+x-2 factorize

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Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

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B is the answer

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