state the given bionomial is a factor of the given polynomial if yes then write yes if no then write no 1)(3m²+4n-3)÷(m+3) 2)(3p²-2p-4)÷(p-1) 3)(2n²+4n-3)÷(n+3) 4)(b³+4b²+2b-3)÷(b+3) 5)(r³-2r²-2r+3)÷(r-1) 6)(x³+x²-3x+8)÷(x+3) 7)(2x³-7y²+4y+4)÷(y-2) 8)(3a³+10a²+5a+6)÷(a+3) 9)(x⁴+4x³+5x²+4x-9)÷(x+3) 10)(x⁴-4x⁵+6x²-x-2)÷(x-1) 11)(n⁴+n³-8n²-4n+8)÷(n+3) 12)(k⁴+k³-5k²-3k-1)÷(k-2) 13)(2x⁴-5x³+5x²-7x+5)÷(x-2) 14)(m³-m²-8m+6)÷(m-3) 15)(3r²+2r-1)÷(r+1) 16)(3n²+11n+5)÷(n+3)
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Answer:
The degree of polynomials in one variable is the highest power of the variable in the algebraic expression. For example, in the following equation: x2+2x+4. The degree of the equation is 2 .i.e. the highest power of variable in the equation.
Step-by-step explanation:
Step 1: Combine all the like terms that are the terms of the variable terms.
(6x5+3x5)+8x3+3x2+2x+(4+4)
Step 2: Ignore all the coefficients
x5+x3+x2+x+x0
Step 3: Arrange the variable in descending order of their powers
x5+x3+x2+x+x0
Step 4: The largest power of the variable is the degree of the polynomial
deg(x5+x3+x2+x+x0) = 5
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