The correct option about squaring the binomial is that B. The student is wrong. There is a missing term.
<h3>How to use binomial theorem?</h3>
We want to square a binomial and using pascal's triangle in binomial theorem, we know that; (x + a)² will follow the pattern;
1x²a⁰ + 2a¹x¹ + 1x⁰a²
Thus, we can say that the expression (x + 3)² will give us;
x² + 2(3x) + 9a²
= x² + 6x + a²
Thus, we can say that the correct option about squaring the binomial is that B. The student is wrong. There is a missing term.
Complete Question is;
A student is instructed to square a binomial, and gets the result shown. Choose the correct description of the student's work. (x + 3)² = x² + 9 Choose the correct answer below.
A. The student is wrong. You cannot square a binomial, only monomials.
B. The student is wrong. There is a missing term.
C. The student is correct. Each given term is squared.
D. The student is wrong. The student should add the threes instead of multiplying them.
Read more about binomial Theorem at; brainly.com/question/13602562
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Answer:
A)
y^2-6y = 0
or, y(y-6) = 0
or, y = 0 or y = 6
B)
n^2+5n+7 = 7
or, n^2+5n+7-7 = 7-7 ( Subtracting 7 from both sides)
or, n^2+5n = 0
or, n(n+5) = 0
or, n=0 or n= -5
C)
2t^2-14t+3 = 3
or, 2t^2-14t = 0
or, 2t(t-7) = 0
or, t=0 or t=7
D)
1/3x^2+3x-4 = -4
or, 1/3x^2+3x = 0
or, 1/3x(x+9) = 0
or, x=0 or x= -9
E)
Zero is a common solution to each of the equations. This is because each of the equations had a variable outside the parenthesis with an operation of multiplication.
THANK YOU FOR READING.
The equation of the line with a positive slope is y≤5x-1. This eliminates choice C (third choice). From there, we can start to put the equations into slope-intercept form.
y≥3x+4
y≥-3x+4
y≥-3x-4
We see that the the equation for the second line (on the graph, not above) is y≥-3x+4. The answer is Choice 2 because both lines match its equations.
y≤5x-1 and 3x+y≥4
:)
