How do you simplify #(x + 9)(x - 2)(x - 7)#?

Answer 1

Ethan Adkins

#x^3-67x+126#

#"factors of the form"#

#(x+a)(x+b)(x+c)" may be expanded as"#

#x^3+(a+b+c)x^2+(ab+bc+ac)x+abc#

#"here " a=9,b=-2" and " c=-7#

#rArr(x+9)(x-2)(x-7)#

#=x^3+(9-2-7)x^2+(-18+14-63)x+(9xx-2xx-7)#

#=x^3-67x+126#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To simplify (x + 9)(x - 2)(x - 7), you can use the distributive property and multiply each pair of binomials together. Then, you can combine like terms and simplify the expression further. The simplified expression is (x^3 - 10x^2 - 61x + 126).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Savannah Anderson

To simplify the expression (x + 9)(x - 2)(x - 7), you can use the distributive property and multiply the terms together:

(x + 9)(x - 2)(x - 7) = (x^2 - 2x + 9x - 18)(x - 7) = (x^2 + 7x - 18)(x - 7) = x^3 - 7x^2 - 18x + 49x - 126 = x^3 - 7x^2 + 31x - 126

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.