Answer:
3x^3 +14x^2 +2x +35
Explanation:
The distributive property is used to find the product of polynomials. Terms can be collected to express the result with terms in order of decreasing degree.
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(3x^2 -x +7)(x +5)
= x(3x^2 -x +7) +5(3x^2 -x +7) . . . . apply the distributive property
= (3x^3 -x^2 +7x) +(15x^2 -5x +35) . . . . show the products
= 3x^3 +(-1 +15)x^2 +(7 -5)x +35 . . . . . collect like terms
= 3x^3 +14x^2 +2x +35 . . . . . . . . write in standard form