Question

Factor out the GCF of the three terms, then complete the factorization of x⁴+7x³+10x².

A) x²(x²+7x+10)
B) x²(x+2)(x+5)
C) x²(x+3)(x+4)
D) x³(x+7)+10x²

Answer 1

The GCF of the three terms in the expression x⁴+7x³+10x² is x², so the correct factorization is A) x²(x² + 7x + 10).

Step-by-step explanation:

To factor out the GCF of the three terms in the expression x⁴+7x³+10x², we need to find the greatest common factor of the coefficients of the terms. In this case, the GCF is x². Factoring out x² from each term gives us:

x²(x² + 7x + 10)

Therefore, the correct factorization of the expression is A) x²(x² + 7x + 10).