Answer: Choice B
(x-1)(x^3+x^2+5x+6)
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Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
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The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
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So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
Answer:
The second option, x^4 - 8x^2 - 16.
Step-by-step explanation:
Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.
x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.
-40
Mark brainliest please
Hope this helps you
Base on the question that said to write the letter of the statement or the reason in the said numbers in the question, and in my further analysis and research, the following are the answers:
Statements:
#1 C. x=15
#2 G. 3x-12=33
#3 L. 3x=45
#4 O. 3x+0=45
#5 <span>s. 3(x-4)=33
</span>
Reasons:
#1 R. Given
#2 F. Subtraction Property of Equality
#3 I. Division Property of Equality
#4 E. Addition Property of Equality
#5 <span>Distributive Property</span>
By=x+2, as this is the only equation that shows the relation between 2 variables
