What is the degree of the following polynomial f(x)=(x+4)^3(x+1)(x-5)^3

Mathematics

1 answer:

Lelechka [254]2 years ago

4 0

Answer:

x^7

Step-by-step explanation:

look for the highest degree of any term and you will end up multiplying

x^3( from first paranthesis) *x( from second parenthesis) *x^3 ( from third paranthesis) so the highest degree will be x^ 3+1+3 = x^7

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-2+4(-x+4)=10 using distributive property and collecting like terms

stich3 [128]

Answer:

Step-by-step explanation:

$-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1$