Factor the high-degree polynomial expression 7x2+42x+63=0

Question

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Answer 1

To factor the given expression, we can first factor out the greatest common factor, which is 7:

7(x^2 + 6x + 9) = 0

Next, we can factor the quadratic expression inside the parentheses:

7(x + 3)(x + 3) = 0

Since (x + 3) appears twice, we can write it as a squared term:

7(x + 3)^2 = 0

So, the factored form of the expression 7x^2 + 42x + 63 = 0 is 7(x + 3)^2 = 0.