Question

Factor the polynomial: x2 5x − 14 = × x2 − 10x 16 = ×.

Answer 1

I believe it’s 21 bc x2 5x-14 jslw

Answer 2

The factor of the first and second polynomial equation using the split the middle term method are (x+7), (x-2) and (x-8), (x-2) respectively.

What is factor of polynomial?

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The first polynomial given in the problem is,

$x^2+5x - 14 = 0$

Find the factor of the above equation, using the split the middle term method as,

$x^2+7x-2x - 14 = 0\\x(x+7)-2(x + 7) = 0\\(x+7)(x - 2) = 0$

Thus the factor of the first polynomial equation are (x+7) and (x-2).

The second polynomial given in the problem is,

$x^2-10x+16 = 0$

Find the factor of the above equation, using the split the middle term method as,

$x^2-8x-2x + 16= 0\\x(x-8)-2(x - 8) = 0\\(x-8)(x - 2) = 0$

Thus, the factor of the first polynomial equation are (x-8) and (x-2).

The factor of the first and second polynomial equation using the split the middle term method are (x+7), (x-2) and (x-8), (x-2) respectively.

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