if x+2is a zero of the polynomial p(x)=2x⁴+7x³+kx+10
Answers
Answered by
1
Answer:
k = -7
Step-by-step explanation:
Let, p(x) = 2x^4 + 7x^3 + kx + 10
APQ, x+2 is a zero of p(x).
So, x+2 = 0
x = -2
Putting this value of x in the equation p(x), we get —
» 2(-2)^4 + 7(-2)^3 + k(-2) + 10
» 32 + (-56) -2k + 10
» -14 - 2k = 0 (as x = -2 was a zero)
» -2k = 14
» k = -7
Hope it helps !
Answered by
0
Ans equation is p(x)=2x⁴+7x³-7x+10
Step-by-step explanation:
if x+2 is a zero of the polynomial
p(x)=2x⁴+7x³+kx+10 ......... eq1
# it mean if we put x=-2 in place of x in eq1
2x⁴+7x³+kx+10 =0
» 2.2⁴-7.2³+k.2+10=0
» 2.16 - 7.8 + 2k + 10 = 0
» 32 - 56 -2k + 10 = 0
» 2k + 42 - 56 = 0
» - 2k = 14
» k = -7
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