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Factor the following quadratic by factoring it’s coefficients.p(x)=x2+8x+7=

Question

Factor the following quadratic by factoring it’s coefficients.p(x)=x2+8x+7=

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Solution

To factor the quadratic equation p(x) = x^2 + 8x + 7, we need to find two numbers that multiply to 7 (the constant term) and add to 8 (the coefficient of the x term).

The numbers that satisfy these conditions are 7 and 1 because 7*1 = 7 and 7+1 = 8.

Therefore, the factored form of the quadratic is:

p(x) = (x + 7)(x + 1)

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