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cluponka [151]
3 years ago
13

Khan Academy

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

Step-by-step explanation:

(x+3) is the factor of polynomial p(x) = x^3 + 7x^2 - 36

So, we can divide p(x) = x^3 + 7x^2 - 36 by (x+3) to find other factors

The division is shown in figure attached.

The quotient is: x^2+4x-12

Now factoring the quotient to find linear factors

x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)

The factors are (x+3)(x-2)(x+6)

So, p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

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