Advertisements
Advertisements
प्रश्न
Find the value of the polynomial 3x3 – 4x2 + 7x – 5, when x = 3 and also when x = –3.
उत्तर
Given that,
p(x) = 3x3 – 4x2 + 7x – 5
According to the question,
When x = 3,
p(x) = p(3)
p(x) = 3x3 – 4x2 + 7x – 5
Substituting x = 3,
p(3) = 3(3)3 – 4(3)2 + 7(3) – 5
p(3) = 3(3)3 – 4(3)2 + 7(3) – 5
= 3(27) – 4(9) + 21 – 5
= 81 – 36 + 21 – 5
= 102 – 41
= 61
When x = –3,
p(x) = p(–3)
p(x) = 3x3 – 4x2 + 7x – 5
Substituting x = –3,
p(–3) = 3(–3)3 – 4(–3)2 + 7(–3) – 5
p(–3) = 3(–3)3 – 4(–3)2 + 7(–3) – 5
= 3(–27) – 4(9) – 21 – 5
= –81 – 36 – 21 – 5
= –143
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
`x - 4/x`
Write the degree of the following polynomial:-
`5t - sqrt7`
Degree of the zero polynomial is ______.
Which of the following expression are polynomials? Justify your answer:
`1/(x + 1)`
Following expression is polynomial in one variable or not? State reason for your answer.
`y^2+sqrt2`
Following expression is polynomial in one variable or not? State reason for your answer.
`3sqrtt + tsqrt2`
Following expression is polynomial in one variable or not? State reason for your answer.
`y+2/y`
Following expression is polynomial in one variable or not? State reason for your answer.
x10 + y3 + t50
Classify the following as linear, quadratic, and cubic polynomial:
x - x3
Classify the following as linear, quadratic and cubic polynomial:
r2
