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India
Class IX

Equivalent Polynomials

Interactive practice questions

Given that $\left(ax+5\right)+\left(4x^2-4x+4\right)+\left(3x+2\right)=4x^2+4x+11$(ax+5)+(4x24x+4)+(3x+2)=4x2+4x+11

for all values of $x$x, solve for $a$a.

Easy
2min

Given that $ax^2-15x+25=\left(2x-5\right)\left(x-5\right)$ax215x+25=(2x5)(x5) for all values of $x$x, solve for $a$a.

Easy
1min

$A\left(x+5\right)+B\left(x+2\right)=6x+18$A(x+5)+B(x+2)=6x+18 for all real values of $x$x.

Easy
2min

Given that $3x^2+4x-2$3x2+4x2$\equiv$$a\left(x-3\right)^2+b\left(x-3\right)+c$a(x3)2+b(x3)+c for all real $x$x, answer the following.

Medium
7min
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Outcomes

9.A.P.1

Definition of a polynomial in one variable, its coefficients, with examples and counterexamples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial/equation.

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