Adding Polynomials
What is the name of the given polynomial
6xy-3x+y
quadratic trinomial
Write the given polynomial in Standard Form
2y-3-y2
y2+2y-3
-2x2(x2+3x+4)
-2x4-6x3-8x2
42x6 divided by 7x3
6x3
Write the factored form of x2-8x+15
(x-3)(x-5)
Simplify
4x2-3x-x2+3x
3x2
Simplify and write in standard form
3z-7z2-5z+5z2+2z2
-2z
(3x-5)(2x+4)
6x2+2x-20
7.2b5+9.6b3-12b2 divided by 2.4b
3b4+4b2-5b
Write the factored form of x2+12xy+32y2
(x+4y)(x+8y)
Simplify
(3x2+2x)+(-x+9)
3x2+x+9
Subtract the polynomials and write in standard form
(5y2-2y+1)-(y2+y+3)
4y2-3y-2
(5x-4)(2x+1)
10x2-3x-4
What is the GCF of -18y4+6y+24y2
6y
Factor the trinomial 10x2+17x+3
(2x+3)(5x+1)
How is it possible that the sum of two quadratic trinomials is a linear binomial?
The terms that have an exponent of 2 are opposites and zero after adding.
Find the missing values
(a2+___+1)-(___+5a+___)=4a2-2a+7
3a and -3a2 and -6
(x+4)(x-4)
x2-16
Factor out the GCF -16y6+28y4-20y3+36y2
4y2(-4y4+7y2-5y+9)
Factor the trinomial 4x2+12x+9
(2x+3)2
Describe and correct the error a student made when naming the polynomial
-2x3+5x4-3x
student's answer cubic trinomial
the student used the first term not the largest term; the polynomial is not in standard form.
4th degree trinomial
Describe and correct the error a student made when subtracting the polynomials (5x2+2x-3)-(3x2-2x-6)
Students work
-5x2+2x-3-3x2-2x-6
Student's answer 2x2-9
They only subtracted the first term in the second polynomial not all of them
2x2+4x+3
Did the student make an error when squaring (x+5). Prove how the student is correct or incorrect.
problem (x+5)2
student's answer x2+25
The student only squared to 2 terms missing the middle term
x2+10x+25
Write a trinomial that has a GCF of 4x2
Example 12x4+32x3-24x2
Factor the binomial 9x2-100
(3x-10)(3x+10)