Question 15 Classify the expression 7x3 + 2x2− 9x + 1 as a monomial, binomial, trinomial or polynomial. monomial binomial trinomial polynomial Question 16 Multiply x to the 1 fourth power times x to the 5 eighths power x to the 1 half power x to the 3 eighths power x to the 7 eighths power x to the 5 over 32 power Question 17 Identify all of the following solutions of square root of x plus 8 end root minus 6 equals x. x = −4 x = −7 x = −4 and x= -7 none of the above
@math&ing001
mono = 1st degree bi = 2nd degree tri = 3rd degree
so its trinomial?
Yep !
#16?
\[x ^{a}*x ^{b}=x ^{a+b}\]
im confuseddddddd
Consider a=1/4 and b=5/8
so , x^5/32
@math&ing001
Do not multiply, add
7x3 + 2x2− 9x + 1 is not a trinomial. It does NOT have 3 terms. It has more than 3 terms so it is polynomial (poly means many)
so its x^1/2
1/4 + 5/8 = 1/2 ?
6/12 simplified is 1/2
Those are fractions we add them like this : \[\frac{ 1 }{ 4 }+\frac{ 5 }{ 8 }=\frac{ 2+5 }{ 8 }=\frac{ 7 }{ 8 }\]
where did you get 2+5?
And btw I made a mistake be4. As @jim_thompson5910 said monomial, binomial... do not depend on degree but on the number of terms the polynomial has.
& #17?
To add fractions you need to have the same denominator.
So 1/4 = 2/8. That's how we got 1/4 + 5/8 = 2/8 + 5/8 = (2+5)/8 = 7/8
& so it is polynomial ?
yeah
ok & #17?
Square root of x plus 8 end root minus 6 equals x. What do you mean by 'end' ?
"square root of x plus 8 end root minus 6 equals x" looks like it translates to \[\Large \sqrt{x+8} - 6 = x\]
Yes^
@math&ing001
Get 6 to the other side then put everything to the power of 2 and solve for x. Should look like x+8 = (x+6)^2
Oh and check for extraneous solutions !
i dont know.. this is hard):
Did you study how to solve quadratics ?
no.
Well you can't do this kind of exercises if you haven't.
Last resort is you just plug in the solutions they gave you in choices and see if they check...
so its -7 ?
Check again !
ok... -4?
yep : )
For the first part, a monomial has just one TERM, a binomial has two terms, a trinomial has 3 terms and for more than three terms just polynomial.
Join our real-time social learning platform and learn together with your friends!