Algebra - Polynomials ! !?!?!?
11. Simplify the following. 7j(j + 2) + 3j(j + 2)
A. 7j² + 20
B. 7j² + 14j
C. 10j² + 20j
D. 10j² + 4
12. Determine whether the following is a polynomial. 937g2h3 - 238gh2 + 54gh
A. polynomial
B. not a polynomial
13. What type of polynomial is the following? -33x³y³z²
A. no special type
B. binomial
C. monomial
D. trinomial
15. The number 501,800,000 expressed in scientific notation is 5.018 · 10-8. TRUE OR FASLE
16. If x does not have a vlalue of 0, x³/x = _____.
A. 1
B. x²
C. x
D. 4x
Comments
11)
Simply expanding out the expression 7j(j + 2) + 3j(j + 2) and then collecting like terms will give the answer.
7j(j + 2) + 3j(j + 2) = 7(j^2) + 14j + 3(j^2) + 6j = 10(j^2) + 20j
answer: C
12)
Yes it is a polynomial as a polynomial can have multiple variables but the exponents have to be 0, 1, 2, 3 ...
answer: A
13)
The terms monomial, binomial and trinomial refer to the number of terms in the expression not the number of variables. The expression -33x³y³z² has only one term so it is a monomial.
answer: C
15)
True as 5.018 x 10^8 expands to 501,800,000. The x 10^8 simply moves the decimal to the right by 8 places
answer: TRUE
16)
When two exponents with the same base are divided, then the answer is the exponent of the denominator gets subtracted from the exponent of the numerator. ex. 3 -1 = 2
Therefore the answer is x^2
answer: B
11. Simplify the following. 7j(j + 2) + 3j(j + 2)
A. 7j² + 20
B. 7j² + 14j
C. 10j² + 20j
D. 10j² + 4
7j(j + 2) + 3j(j + 2)
=7j^2+14j+3j^2+6j
=10j^2+20j
Answer: C
11. c
12. A
13. c
15. True
16. B
in case you quantity is interior the form: Ax^2 + Bx + C, then locate components of the quantity (A*C) that upload as much as B and cut up B into those numbers a million) x^2 + 4x + 9x +36, and team words which will factor (x^2 +4x) + (9x + 36), factor out what you could from each and each team x(x+4) + 9(x+4), factor our the quantity which you would be able to (x+4)(x+9) That'll artwork for those style of.