10. Using the distributive property each term in the binomial must be multiplied by each of the terms in
the trinomial to get the product of a binomial and a trinomial When you multiply (x - 5) and
(ײ + 3x - 7), what will be the result?
A x³ + 2x² - 22x + 35
B x³ + 2x² + 22x - 35
C. x³ - 2x² - 22x + 35
D. x³ - 2x² + 22x + 35
the trinomial to get the product of a binomial and a trinomial When you multiply (x - 5) and
(ײ + 3x - 7), what will be the result?
A x³ + 2x² - 22x + 35
B x³ + 2x² + 22x - 35
C. x³ - 2x² - 22x + 35
D. x³ - 2x² + 22x + 35
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C. x³ - 2x² - 22x + 35
Solution:
using distributive property
(x² + 3x - 7)(x - 5)
= (x²)(x) + (x²)(-5) + (3x)(x) + (3x)(-5) + (-7)(x) + (-7)(-5)
= x³ - 5x² + 3x² - 15x -7x + 35
(solve the similar terms which is "-5x² + 3x²" and "-15x - 7x" )
answer = x³ - 2x² - 22x + 35