2010000804
Level:
C
Factoring the polynomial \(-3x^5-24x^4-48x^3\) you get:
\( -3x^3(x+4)(x+4)\)
\( -3x^3(x-4)(x-4)\)
\( 3x^3(4-x)(4-x)\)
\( 3x^3(x+4)(x-4)\)
Polynomials and fractions
2010000803
Level:
C
Factoring the polynomial \(-4x^4+24x^3-36x^2\) you get:
\( -4x^2(x-3)(x-3)\)
\( -4x^2(x+3)(x+3)\)
\( -4x^2(x+3)(x-3)\)
\( -4x^2(x^2+6x-9)\)
2010000802
Level:
C
The polynomial \( 2x^5-px^3+(p-1)x^2+2x-5 \) is divisible by the binomial \( x^2+1 \) if \( p \) is equal to:
\(-4\)
\(-8\)
\(4\)
\(8\)
2010000801
Level:
A
The product \( \left(x-y+4\right)(3x^2y-2xy^2) \) equals:
\( 3x^3y-5x^2y^2+2xy^3+12x^2y-8xy^2 \)
\( 3x^3y+x^2y^2+2xy^3+12x^2y-8xy^2 \)
\( 3x^3y-5x^2y^2+2xy^3-12x^2y-8xy^2 \)
\( 3x^3y-x^2y^2+2xy^3+12x^2y-8xy^2 \)
2000002609
Level:
C
The equation \(x^3 +27=0\) can be solved by factoring. The expression on the left can be factored as:
\( (x+3)(x^2-3x+9) \)
\( (x+3)(x^2+3x+9) \)
\( (x+3)^3 \)
\( (x-3)(x^2+3x+9) \)
Degree of Polynomial
Submitted by ladislav.foltyn on Wed, 04/17/2019 - 20:27Question:
Without multiplying, find the degree of the product of polynomials $p$ and $q$.
Factoring Polynomials
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 11:51Evaluating Polynomials
Submitted by ladislav.foltyn on Fri, 02/15/2019 - 15:50Question:
Given the polynomial \( w(x) \), evaluate \( w(-1)+w(1) \).
1003032508
Level:
C
Find the term that does not contain \( x \) and \( y \) (constant term) in the expansion of \( (x+y)^4(\frac1x+\frac1y)^4 \).
\( 70 \)
\( 2 \)
\( 36 \)
\( 0 \)
1003032507
Level:
C
Express \( v_1 \) from the formula \( v=\frac{v_1v_2(d_1+d_2 )}{d_1v_2+d_2v_1} \).
\( v_1=\frac{vd_1 v_2}{v_2d_1+v_2d_2-vd_2} \)
\( v_1=\frac{vv_2 d_1}{vd_2-v_2d_1-v_2d_2} \)
\( v_1=\frac{vv_2(d_1+d_2)}{d_1v_2+d_2 v} \)
\( v_1=\frac{v(d_1v_2+d_2 v_1 )}{v_2 (d_1+d_2 )} \)